# 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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### Distance between the two cars I

A road running north to south crosses a road going east to west at the point P. Car A is driving north along the first road, and a car B is driving east along the second road. At a particular time car ...
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### In a swimming race, the odds that A will win are $\frac23$ to $3$ and the odds that B will win are $\frac14$. Find the odds that A or B win the race.

Problem : In a swimming race, the odds that A will win are $\frac23$ and the odds that B will win are $\frac14$. Find the odds that A or B win the race. My Approach : I guess we can add up the odds of ...
52 views

### Mary (M) is twice as old as Ann (A) was when M was half as old as A will be when A is $3$ times as old as M was when M was $3$ times as old as A was.

The combined ages of Mary and Ann is $44$ years, and Mary is twice as old as Ann was when Mary was half as old as Ann will be when Ann is three times as old as Mary was when Mary was three times as ...
1 vote
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### $M/M/2/3$ Queuing Theory Word-Problem

A service center consists of two servers, each working at an exponential rate of two services per hour. If customers arrive at a Poisson rate of three per hour, then, assuming a system capacity of at ...
1 vote
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### A alone takes $a$ more days than A and B, and B alone takes $b$ more days than A and B. Find how long for A and B.

What's said in the box is not clear. The author meant to say, If A working alone takes a days more than A and B together, and B working alone takes b days more than A and B together, then the number ...
18 views

### A word problem on a sequence of financial values [closed]

I need help on a Series and Sequence Assessment Task. PROBLEM DESCRIPTION A business man in Minnesota sets up a prize fund of $\$3000$with a single investment to provide an annual prize of$\$200$. ...
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### Dehn's Word Problem for different generating sets

Dehn's Word Problem $DWP(G, S)$ asks whether a word in $(S \cup S^{-1})^*$ is the identity in $G$ for a Group $G$ with a finite generating set $S$ of $G$. I'm new to word problems and one of the first ...
71 views

### how many liters of 30% saline solution would it take to turn an 8-liter container of 15% saline solution into 25%?

how many liters of 30% saline solution would it take to turn an 8 - liter vessel of 15% saline solution into a 25% solution? I got this question on a test and did not know the answer, I havent been ...
37 views

### A math logic problem [duplicate]

Say there are 12 people on an island, 11 weigh the same. One is either lighter or heavier. There's a beam balance to measure the weights. Is it possible to find the heavier OR lighter person in only 3 ...
218 views

### $30\%$ students have glasses. $20\%$ of students with glasses play. $60\%$ of students without glasses play. Probability, student without glass plays.

Problem: In a school, $30\%$ of students have glasses. $20\%$ of students with glasses play sports. $60\%$ of students without glasses play sports. If we randomly choose a student, find probability ...
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### Horizontal SUVAT problem (AS Level)

Could someone please explain how you get the answer for the following question: ...
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### Algebraic rate and ratio brainteasers.

"A boat is traveling upstream against a current. It takes 45 minutes to travel 30 miles. On the return trip (with current) it takes 30 minutes. What is the speed displayed on the boats ...
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Multiple Choice: How many otters are there in a group of 27 penguins and otters if there are four fifths as many penguins as otters? My reasoning is $\frac{1}{5} \cdot \frac{27}{1}$ are otters. So ...
1 vote
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### Optimal way to group items of varying quantities into sets of 5, with no duplicates in a set?

Let’s say you are a trading card manufacturer and you have an inventory of cards that you want to divide into packs of 5 cards each, with no duplicates in a single pack. There are 17 different types ...
85 views

### In terms of Emily's equal steps, what is the length of the ship?

I have a problem here: Emily sees a ship traveling at a constant speed along a straight section of a river. She walks parallel to the riverbank at a uniform rate faster than the ship. She counts 210 ...
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### Probability Math Problem. Dont know where I went wrong with my work.

A deck of forty cards consists of four 1's, four 2's,..., and four 10's. A matching pair (two cards with the same number) is removed from the deck. Given that these cards are not returned to the deck, ...
1 vote
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### Knowing that $z$ students failed, how many men failed the exam, out of 452 students? (A $1892$ coll. alg. problem)

In Tibbets' College Requirements In Algebra, at Ginn&Compagny, $1892$ I find the following sight problem ( assuming this expression means that the problem can be solved by simple inspection) : ...
1 vote
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### Legitimity of a "gaussian approximation" for a qualitative-values bar chart

Sorry per advance if my question is not in the right place but I couldn't find a statistics-dedicated Stack Overflow site. Anyway, here is my problem: One friend of mine is currently writing her phD ...
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### Dudeney's "Modern Puzzles" - number 38, The Despatch-Rider

In Henry Ernest Dudeney's "Modern Puzzles" of 1926 (now out of print) we have: The Despatch-Rider If an army forty miles long advances forty miles while a despatch-rider gallops from the ...
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### Mixtures and alligations - Acid concentration

From a vessel containing $1$ litre of pure acid, $100$ ml pure acid was drawn out in each of the beakers A and B. The acid in both the beakers was diluted by adding water in different proportions. ...
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### How can I simplify then solve this wordy age problem?

About a month ago, my high school had its first math team competition. In one of the events (Fr/So 8-person), the following question was asked: "All ages in this problem are in whole number of ...
155 views

### Formula(s) for sharing multiple golden geese

Please have mercy on a simple, non-math person like me. I'm trying to find a formula (or even be told it's impossible) for a unique and difficult compound interest scenario pertaining to the Golden ...
1 vote
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### A mason employed a certain number of workers to finish constructing a wall in a certain number of days.

But soon he realized that the work would get delayed by ¼ of the time. He then increased the number of workers by a third and they managed to finish the work on schedule. What percentage of the work ...
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### If three mixtures have same percentage of a liquid A in them, prove that the ratio in which they were mixed is irrelevant.

If mixture A has 20% ethyl alcohol and rest water, and mixture B has 20 % ethyl alcohol, rest water too. When both are mixed in, the resulting mixture formed is called Delta. Upon mixing these three ...
1 vote