# 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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### Optimization word problem involving perimeter and area of an arched window

I'm working through an optimization problem in my textbook about maximizing the area of a rectangular window with an arched top. My question is concerns how to think about a certian variable. I'm torn ...
• 11
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### Statistics standard deviation problem [closed]

Thirty-five rose bushes are available from a nursery containing 16 red bushes, 11 yellow bushes, and 8 white bushes. What is the standard deviation (give-or-take) number of white bushes selected in a ...
1 vote
70 views
+50

### How do I go "backwards" with error propagation?

Hopefully this is appropriate for Math SE given that, ultimately, this questions stems from a math textbook (Zorich's Mathematical Analysis). Zorich has shown using simple arguments with absolute ...
• 1,189
1 vote
104 views

### How many times is the light bulb turned on?

A light bulb is automatically turned off for 21 secs. Next, it lights up automatically for 15 secs. Once again, it is automatically turned off for the following 21 secs. The process keeps repeating. ...
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122 views

### Using one variable vs two variables

I'm in the process of of again learning algebra 1. But I ran across this problem the other day. The sum of two numbers is $10$ and the sum of their reciprocals is $5/12$. Find the numbers. ...
50 views

### Application of Differential Equations Logistics problem

Problem: The rate of change of the total number of sales, $dS(t)\over dt$, of a new product is proportional to $S(t)\over t^2$, where $t$ is in years. If the saturation of the market is $50000$ units,...
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114 views

### If the cost of $2$ pens is Rs. $10$ , then find the cost of $20$ pens.

Q)If the cost of $2$ pens is Rs. $10$ , then find the cost of $20$ pens. Ans) I know how to find the cost of $20$ pens in these types of questions. Just we need to use the unitary method to find the ...
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1 vote
136 views

### Two grasshoppers jump in opposite directions - find effective solution?

I took a test in number theory and modular arithmetic today, and one of the questions looked like this: Two grasshoppers A and B hop in a circle that is divided into 81 squares. The squares are ...
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491 views

### How can we solve the system with 6 variables? [closed]

I'm doing some GMAT exercises and this question came up to me. Unfortunately, I cannot figure out the final result. Mike and Jenny are buying fruits. Mike bought total 11 oranges and apples, which ...
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41 views

### How to formulate this transportation problem?

I have been trying to formulate this as a transportation problem but I can't seem to do so: We have $3$ types of projects and $3$ types of evaluators. We need to evaluate $61,40$ and $21$ projects of ...
24 views

### A simple compound interest problem

Here is a simple interest word problem that I apparently got it wrong. The problem is this: Isabel borrowed $8000$ dollars from a bank. If the interest is compounded $15$ percent monthly. How much ...
1 vote
70 views

### Combinatorial Probability Question Similar to Sheldon Ross's A First Course in Probability 10th ed Chapter 2 Problem 7

I wrote a combinatorial probability question, and I am not sure if my solution is correct. It is just a slight rewording of a problem from Sheldon Ross's A First Course in Probability 10th ed. Chapter ...
611 views

### Probability - Interview Question - Hidden Assumptions and Phrasing Issues

I’ve encountered the following seemingly simple probability interview question in my workplace: Two reviewers were tasked with finding errors in a book. The first had found 40 errors and the other ...
119 views

### Converting (liters/10km) and (km/h) into liters/hour

Assume we have some velocity data given in km/h: $$\mathrm{velocity} = [10, 25, 40, 55, 70, 90, 105, 120]$$ and the corresponding fuel consumption given in liters/10km:  \mathrm{fuel} = [2.2, 1.5, ...
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47 views

### How to algebraically calculate the difference in days for an inverse-proportion or more people=worse problem?

During a drought, 50 people have only $1000 \mathrm{~L}$ of water left. If every person consumes an identical amount of water, the 1000-liter supply would be exhausted in one day. If 40 people were to ...
1 vote
61 views

### Time it takes for one train to pass by the front of another

Two trains are travelling on parallel tracks, one towards the other. The speed of each is $20m/s$. Train number one is $100m$ long and train number $2$ is $200m$ long. They meet and pass each other. ...
74 views

### Splitting restaurant bill [closed]

Whenever I eat at a restaurant the bill gets handed to me as I work in finance! I've gotten myself confused with how to work out the bill, so just would like to understand this for future. So, the ...
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4k views

### Two logicians who each pick a number secretly between 1 and 30

Recently a logic question has become quite popular. Here it is: Two logicians (A and B) each secretly pick a whole number from 1 to 30 inclusive. Each knows the other has done this. A: "Is your ...
18 views

### Total conversions vs individual feature conversion

I have a new website and an old website with 5 features. All features have been updated in the new website. The old checkout page has a 10% conversion rate. The new checkout page has a 9% conversion ...
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94 views

### The number of people in an audthorium is between 80 and 100, knowimg that the number of men is 7/8 the number of women, what is the number of people?

I would like some help solving that problem. My approach: I've shown that x is between 128/3 and 160/3 but that didn't help me and now I'm stuck. Thanks in advance
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97 views

### Find a special number [closed]

Let's suppose there is a 2 digit number with both digits not the same and we reverse its digits order and then subtract from the original number and taking the absolute value of the difference ...
211 views

### absolute value inequalities word problems,, which sign to use

I have the below absolute value inequalities word problem, I was able to get the answer but had to solve it by trying both <= and >= and then working out which one was correct. But the videos I ...
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33 views

### Parametric equations for a point traversing the circumference of a laterally accelerating circle (not rolling) with a max speed for the point.

Variables: e -> point on a circle r -> radius of said circle (constant) x(t), y(t) -> parametric equations describing the position of point e v -> velocity of the center of the circle c -&...
1 vote
52 views

### How do I find the focal distance?

I’ll first put the question as it is on the assignment and then ask my question. The following describes certain characteristics of a parabolic radio telescope that an astronomical observatory would ...
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1 vote