Precalculus Enhanced with Graphing Utilities
Precalculus Enhanced with Graphing Utilities
6th Edition
ISBN: 9780321795465
Author: Michael Sullivan, Michael III Sullivan
Publisher: PEARSON
Question
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Chapter A.8, Problem 45AYU
To determine

To find: How far from the start will Mike pass Dan? How long does it take?

Expert Solution & Answer
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Answer to Problem 45AYU

Mike passes Dan 1 3 mile from the start. 2 min to the time Mike started to run.

Explanation of Solution

Given:

Mike can run the mile in 6 minutes and Dan can run in 19 minutes. If Mike gives Dan a head start of 1 minute, how far from the start will Mike pass Dan? How long does it take?

Calculation:

Let t = M’s running time then ( t + 1 ) = D’s running time.

When M catches D , they will have run the same distance.

1 6 t =  1 9 ( t + 1 )

Multiply both side by 18, we get

3t = 2( t + 1 )

3t  2t = 2

t = 2

t = 2 minutes for M to catch D .

Therefore mike passes Dan 1 3 mile from the start. 2 min to the time Mike started to run.

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