Two cyclists, 96 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as the other, and they meet after 4 hours of riding. a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist. b. What are the speeds of the two cyclists? What units? Slower Cyclist: Select an answer Faster Cyclist: Select an answer ▼

Two cyclists, 96 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as the other, and they meet after 4 hours of riding. a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist. b. What are the speeds of the two cyclists? What units? Slower Cyclist: Select an answer Faster Cyclist: Select an answer ▼

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

**Problem Description:**

Two cyclists, 96 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as the other, and they meet after 4 hours of riding.

**Tasks:**

a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable $ r $ to represent the speed of the slower cyclist.

[Box for equation input]

b. What are the speeds of the two cyclists? What units?

**Inputs:**

- Slower Cyclist: [Dropdown to select an answer]

- Faster Cyclist: [Dropdown to select an answer]

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