# The average speed during the whole trip. ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805 ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 1, Problem 15P
To determine

## To find: The average speed during the whole trip.

Expert Solution

Solution:

The average speed is 40 mi/h.

### Explanation of Solution

Given:

Speed during the first half distance = 30 mi/h

Speed during the second half distance = 60 min/h

Result used:

Average speed=Total distanceTotal time

Calculation:

Let t1 be the time taken for the first half.

Let t2 be the time taken for the second half.

Distance traveled on each half on the trip is d

Therefore, the total distance is 2d.

From the given data the time taken for the first half trip is t1=d30.

Time taken for the second half trip is t2=d60.

Average speed=2dt1+t2=2dd30+d60=2d3d60=40

Thus, the average speed is 40 mi/h.

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