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Questions tagged [word-problem]

A word problem is an exercise with its main challenge being in translation from words to mathematical concepts and language including symbols and formulas. This tag is not about the unrelated topic in group theory.

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Can someone please explain the answer

A man in a fishing competition catches his first fish after 30 minutes, then each next fish 2 minutes faster than the previous one. How long will it take to catch 14 fish in hours?
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1answer
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Tetrahedal dice, biased and un biased

Question Two tetrahedral dice, both numbered 1 to 4 are tossed. If one die us a fair and the other biased so that a four is twice as likely as any other score, setup the possibility space and use ...
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word problem - linear distance in terms of a walking velocity and a second driving velocity

every day I pick up my son from bus stop at 4:00 pm and go right back home . one day he started walking ( towards home ).leaving school at 3:30 and of course i met him at some point in between . We ...
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1answer
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Speed, Distance and Time GCSE Physics Question. Help please…

It takes me 20 minutes to walk from home to the bus station. I catch the bus from the bus station to work each morning. My bus journey is 10 miles and usually takes 30 minutes. I can catch a bus at 20 ...
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3answers
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Basic algebra word problem: Number of sheep?

A farmer raises sheep and chickens at his farm. The number of sheep is $\frac{1}{3}$ the number of chickens. There are $96$ fewer sheep legs than chicken legs. How many sheep are there at the farm? ...
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Calculating Weapon Reload with Wind-up

A game I play has a weapon that has a "wind-up" feature, where the reload time decreases the more times it's fired. I'm curious as to how to calculate the amount of time it will take to get to the ...
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2answers
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How can I find the ages of the people in a word problem involving family ties which seems intricate?

The problem is as follows: Marvin is the only son of Jennifer's grandfather, and Lindsey is the only daughter-in-law of Marvin's grandfather. If the only children of Jennifer are twins of 7 years of ...
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2answers
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What does the pronoun “they” refer to in this sentence “in how many ways can they select the host for these championships” [closed]

I am reading a textbook on statistics. There is confusion about a paragraph in an exercise. If the NCAA has applications from six universities for hosting its intercollegiate tennis championships ...
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2answers
628 views

age-based word problem

Peter's age is three years more than three times his son's age. After three years, Peter's age will be ten years more than twice his son's age. What is Peter's present age? I have tried to put this ...
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2answers
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Need guidance solving this particular propositional logic question

I've been trying to get my head around this logic question posed on an exam I took some weeks ago, but wasn't able to figure it out by myself, so I've come here for some help. The question reads as ...
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1answer
42 views

What recommendations can be used to speed up solving a logic puzzle problem involving placing in order a set of elements using a logic grid?

The problem is as follows: A group of archaeologists found an artifact to which they believe tells an account of the results of a race in an ancient Hippodrome. After days of studying the ...
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3answers
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algebra word problem help

A man has a stack of blank DVDS. on day one he uses one third of the DVD's. on day 2 he uses half the DVD's that were left from day one. At the end of day 2 there are 12 DVD's left. how many DVD's ...
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0answers
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Optimization algorithm.

I am looking for an optimization algorithm for a program I am trying to write. To keep the question as simple as possible, I have crafted it into a story. A carpenter receives an order for N chairs. ...
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1answer
32 views

work problem help [closed]

from this table I am suppose to work out which mine can produce the greatest amount of electricity before it runs out of coal. not sure how to go about calculating this?
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1answer
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$3$ people in a room: one tells lies, one tells truth, one tells a truth or lie at random

So I am stuck on this question and I am not really looking for a solution as such more some advice on how to approach a problem like this: Three people called Alf, Beth, and Gemma, sit together in ...
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0answers
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3 people Red hat Blue hat word problem.

I am stuck of this question, for longer that I should be and also convinced that there is a typo in the question. I am going to take a screen shot of the question as to make sure I don’t miss type ...
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1answer
26 views

How do I generate a mathematical formula for the following question and answer? [closed]

I have a legal issue and need to express an example and solution as a mathematical formula for clarity purposes and I don't know how to do that. I'd very much appreciate if someone could show me how ...
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1answer
28 views

7 way light bulb combinations

I am having trouble with this question as I am not sure I am approaching it in the correct manor. A so-called 7-way lamp has three 60-watt bulbs which may be turned on one or two or all three at ...
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3answers
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What would the equation for this word problem be?

I don’t even know if there is an equation for this kind of problem, but: “A stock starts with a value of $100 per share. On the first day, the stock’s value increases by 12.0%. The next day, the ...
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1answer
33 views

How can I formalize this trasport problem?

I am having a hard time formalizing a practical problem which seems clear in my head but as soon as I try to put down some formulas it eludes my understanding. The setting of the problem is this: ...
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3answers
41 views

Arc of a pendulum (Trigonometry)

How far does the tip of a 5-foot pendulum travel as it swings through an angle of 30 degrees? Round your answer to two decimal places. I proceeded by drawing a picture of my swinging pendulum with ...
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1answer
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Equation solution [closed]

A zoo has few numbers of penguins and polar bears. The total number of heads of both of them is $60$ and the total number of their feet is $160$. How many polar bears are there in the zoo?
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1answer
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Formula to Calculate Back and Forth Between Net & Gross Based on Markup Percentage

I'm trying to develop a cost management spreadsheet for my company. The way we currently manage budgets is by taking the total budget from the proposal (Gross), subtracting our cut, then getting the ...
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3answers
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How do I solve this Math problem [closed]

Hi guys. Does this problem involve the use of proportions?
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1answer
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Problem involving directly and inversely proportional division

A father wishes to divide his 500-acre farm between his three sons in portions of land directly proportional to the number of kids each one has and inversely proportional to their incomes. If the ...
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1answer
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An algebraic word problem worth a second look

Ed filled $2/3$ of his radiator with antifreeze and then added $4$ more quarts (a gallon) of antifreeze. After draining half the antifreeze, he needed $11$ quarts of antifreeze to fill the radiator to ...
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2answers
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Can you solve this stolen money riddle?

So, a basic word problem has gone viral on FaceBook quite a few times now and many people remain convinced of their own incorrect answers. Suppose a man walks into a store to steal a $\$100$ bill ...
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1answer
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What's the least possible price of the most expensive widget?

Mary sold 15 widgets last week. The median sale price of all widgets was $130$ and the average sale price of all widgets was $150. What's the least possible price of the most expensive widget? The ...
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4answers
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Find the sum of the First $50$ Natural Numbers starting from $11$. Is it from $11-50$ or $11-60$?

This a simple question yet confusing for me, I found the answer as 1220 by taking sum from $11$ to $50$, by inferring the question as first 50 natural numbers {$1,2,3,4,5,6,7,8,9,10,11,...49,50$} ...
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2answers
28 views

Boat Word Problem

A crew can row a certain course upstream in 84 minutes; they can row the same course down stream in 9 minutes less than they can row it in still water: how long would they take to row down with ...
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1answer
48 views

Algebra Solution to Question

At the start of lunch Jimmy and Jake each brought out a new bag of $x$ marbles to play with their friends. By the end of lunch they were surprised to see they still had the same number as each other ...
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2answers
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1 chicken lay how many eggs in 1 day

Here's the question: A chicken and-a-half lays an egg and-a-half in a day and-a-half. Assuming eggs are fungible and fully divisible, how many eggs does one chicken lay in a day? Here's what ...
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2answers
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Rate at which flu spreads

Here's the question: Say the rate at which the flu spreads is proportional to the number of people currently have the flu. Assuming an unlimited population, if one person is sick at 9:00 AM, and ...
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2answers
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how far has bird flown when two trains cross each other

Here's the question: A train leaves point A and heads to point B (which is 100 km away) at 20 km/hr (the track is a straight line between the two points). Another train leaves point B and heads ...
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1answer
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Calculus Subway Problem

A subway train travels over a distance $s$ in $t$ seconds. It starts from rest (zero velocity) and ends at rest. In the first part of its journey, it moves with constant acceleration $f$ and in the ...
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1answer
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I need help understanding/solving this word problem.

The question: A sample is marked as containing 27.3% calcium carbonate by mass (a) How many grams of calcium carbonate are contained in 64.33 grams of the sample? (b) How many grams of the sample ...
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2answers
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How much does the fruit concentrate cost in $1$ liter of fruit juice?

In a factory, $1$ liter of fruit juice contains water cost, fruit concentrate cost and packing cost. There's fruit concentrate $\%25$ of water in the fruit concentrate and water mixture. Water cost ...
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Convergence of geometric series factor 3/4 word problem

I came across this problem on AoPS: A rubber ball is dropped from a 100 ft tall building. Each time it bounces, it rises to three quarters its previous height. So, after its first bounce it rises to ...
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4answers
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3 Towns and a Man problem

A, B, C are three towns forming a triangle. A man has to walk from one to the next, ride thence to the next, and drive thence to his starting point. He can walk, ride, and drive a mile in a, b, c ...
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1answer
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Problem Regarding Proof by Induction and/or Contradiction

There is a competition involving sixteen people, with each person having 1 round against every other person. If a person wins a round, they get one point. The loser gets zero points, and if it is a ...
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4answers
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Are the times the same with a closed and open dam?

Before I start explaining what I will say regarding the question, read the question before going any further. Question: Mariam and Leena both live on the bank of the same river, a distance apart. ...
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2answers
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Financial Word Problem Setup.

A person spends one-third of his income, saves one-fourth, and pays away $5$ percent on the whole as interest at $7\frac{1}{2}$ percent on debts previously incurred, and then has $110$ pounds ...
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2answers
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Extended Euclidean Algorithm to find 2 POSITIVE Coefficients?

There's a problem I ran into that said: "At a certain casino, blue poker chips are worth 9 dollars and white poker chips are worth 14 dollars. How many chips can Hank buy to spend exactly 206 dollars?...
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1answer
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A kid on a rolling escalator

A kid is walking up a downward-moving escalator with a constant speed and counts 72 stairs. Then the kid walks down with the same speed and now counts 36 stairs. Being confused, the kid waits until ...
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2answers
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Another one of those time problems

It is between 2 and 3 o'clock, and in 10 minutes the minute-hand will be as much before the hour-hand as it is now behind it. What is the time? Ok, so here is my approach to solving this problem: ...
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1answer
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Optimum Volume and Surface Area Grade 9

Two shapes both have a surface are of 1200cm2. One of them is a cylinder and one of them is a square based prism. a) What is the maximum value of the volume of the shape if it is a cylinder? b) What ...
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1answer
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How much ketchup is on the table? (Ketchup flow rate problem)

This is a question I came up with while watching my friend squirt ketchup onto his table. He was squirting the ketchup out of a bottle while moving the bottle upwards. A ketchup bottle starts upside ...
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1answer
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Problem involving time minute hand versus hour hand

I came across a problem in my textbook that goes as follows: At what time between 4 and 5 o'clock will the minute hand of a watch be 13 minutes in advance of the hour hand? I don't understand ...
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1answer
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What does the wording of this question mean?

I am lost on the wording of this GRE question. What is "total of the ratings given" supposed to be?
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2answers
51 views

A cyclist gets left behind by $500$ meters every $minute$ by motorcyclist

A cyclist gets left behind by $500$ meters every $minute$ by motorcyclist, because of that he takes $2$ $hour$ and $42$ $minute$ more than motorcyclist to cover $52$ $km$. Find both of their speed. ...