# 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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### How many crates will there be?

I’m working on the following riddle: UPS can fit 8 large packages or 10 small packages in a crate for shipping. In one shipment, they can send a total of 96 packages. If there are more large packages ...
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### How many pieces of lumber do I need to make a box?

I've started building raised gardens boxes of custom sizes. For a given box of width $x$ and length $y$, how many boards of lumber of length $l$ do I need to build this box? Assume (for now) the ...
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### How long to catch up to a stream started $1$ hour ago at $1.5$x speed?

I opened a stream that started an hour ago. Not wanting to miss anything, I started from the beginning and set it to 1.5x speed. How long will it take for me to catch up? I know that it will take 40 ...
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### Linear algebra word problem with hourly wages

The painter, the plumber and the electrician set up the joint venture and agreed to work within it for ten hours each week according to the following schedule. For example, the first column ...
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### Flower probability word problem [closed]

A garden plant can produce pink, white or blue flowers. The probability of the plant having pink flowers is 0.5. Blue and white flowers are equally likely. What is the probability of a plant having ...
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### Math Trigonometry [closed]

Bert, Ernie, and Elmo each have their owns tents and are camping at Grand Bend. From Bert’s location, Bert estimates that Ernie’s tent 630 m from his, on a true bearing of 100°. Bert estimates that ...
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### Stuck on Algebra › Solving by multiplying [closed]

I'm practicing maths and got stuck at certain point. Isn't the answer 48? If I write 48, it says "try again". Correct me if I'm wrong. please see image here
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### Two airplanes depart at the same time

Two airplanes depart at the same time from Paris to London. One flies with a velocity of 350 km/h and the other flies with v=280 km/h. After 2 hours, the first airplane decreases its velocity with 230 ...
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### How can we prove this for n=5, 13 and any values?

A man has to paint n consecutive mile posts and wants to do this as inefficiently as possible - So that he walks as far as possible from the first post he paints to the last post he paints. He can ...
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### calculating margin offset in order to stack playing cards to fit inside box

So, I have x amount of cards and a container width that is variable. I am trying to calculate how much minus margin i have to apply to each card in order to make them all fit inside the container. I ...
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### Calculate percentage of a path segment

This problem should be quite simple but I am having a hard time getting to the solution... Imagine that I have the following path: ...
33 views

### How do I set up the following Differential Equation?

so in the following word problem, it seems that I am supposed to solve a differential equation in order to find the function f. However, with the way it is worded, I'm having a tough time actually ...
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### Word problem that I need help explaining! Can someone break this down for me?

There are $32$ students in Mrs. Vicky’s class. Some of the students took one pencil each from the box with pencils on the teachers desk. Then a third of the remaining students took $3$ pencils each, ...
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### Processor Word Problem

It takes 12 processor 5 min to calculate 6 solutions. If 40 processor are in two groups, where grou 1 has 4 more processors than the 2nd group, how long will it take the 2nd group to calculate 27 ...
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### Setting up a differential model

I'm confused on how I set up a differential model for this problem. Any help would be appreciated. A hot cup of coffee is placed in a room with a wack temperature control. The coffee at T(0) is 160 ...
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### How to find the number of pills which someone has consumed given a time range?

The problem is as follows: Marina went to the doctor and he has advised her to take vitamins. As doctor's orders she has to take one tablet of Vitamin C every 6 hours. From vitamin D she has to ...
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### How can I find the a certain birthdate of two people when one information given depends on the other?

The problem is as follows: Mike was born on $\textrm{October 1st, 2012,}$ and Jack on $\textrm{December 1st, 2013}$. Find the date when the triple the age of Jack is the double of Mike's age. The ...
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### word problem with natural numbers?

Jenny writes the natural numbers from 1 to 1001 in a row. Can the signs ”+” and ”-” be placed between the numbers in such a way that the value of the resulting expression is 100? If yes, show ...
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### Object slides from a surface's frictionless part to a rough part. How long does it take to stop?

A rectangular prism of length $L$ is sliding on a flat surface with speed $v_0$, without friction. It slides onto a rough section of the surface where the coefficient of kinetic friction is $\mu$. ...
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### Andi and Brandi cycle around a field, with velocities: 8 km/h and 4 km/h. What is the perimeter of the field?

$Andi$ and $Brandi$ cycle around a field, starts at same position and at same time with same direction. $Andi$'s and $Brandi$'s velocity are $8$ km/h and $4$ km/h. After one lap, $Andi$ took a rest ...
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### geometry question from kangaroo math contest

drawing A rectangle has sides of length 6cm and 11cm. One long side is selected. The bisectors of the angles at either end of that side are drawn. These bisectors divide the other long side ...