Word problem Calculator

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Example

Created on 2024-06-20Asked by Jackson Lewis (Solvelet student)

A train travels from City A to City B at an average speed of 60 mph and returns to City A at an average speed of 40 mph. If the total travel time for the round trip is 7 hours, find the distance between City A and City B.

Solution

Let the distance between City A and City B be

d

miles. 1. **Calculating time for the outbound trip:** The time taken for the outbound trip from City A to City B is

t_1 = \frac{d}{60}

hours. 2. **Calculating time for the return trip:** The time taken for the return trip from City B to City A is

t_2 = \frac{d}{40}

hours. 3. **Total travel time:** The total travel time for the round trip is given as 7 hours:

t_1 + t_2 = 7.

4. **Substituting time expressions:** Substituting the expressions for

t_1

and

t_2

into the equation, we get:

\frac{d}{60} + \frac{d}{40} = 7.

5. **Solving for

d

:**

\frac{d}{60} + \frac{d}{40} = 7.

\frac{2d + 3d}{120} = 7.

\frac{5d}{120} = 7.

5d = 840.

d = \frac{840}{5} = 168.

6. **Result:** The distance between City A and City B is 168 miles. Solved on Solvelet with Basic AI Model

Some of the related questions asked by Layla Sanchez on Solvelet

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3

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2.25, what is the cost of

7$ apples?2. A car travels at a speed of 60 miles per hour. How far will it travel in 3 hours?,

DefinitionA word problem is a mathematical problem presented in language, often in the form of text. Word problem solving often involves figuring out how to translate the given information into algebraic equations and then how to solve them. e.g., if John has 5 apples and gives away 3, then how many apples does John have? is a word problem.

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