# The speed of car to completely pass the truck. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.6, Problem 70E
To determine

## To find: The speed of car to completely pass the truck.

Expert Solution

The speed of car to completely pass the truck is 80.66 mi/h.

### Explanation of Solution

Given:

The length of car is 14 ft and the length of truck is 30 ft.

The speed of truck is 5 mi/h and time taken by car to pass the truck is 6 s.

Formula used:

Distance formula is,

distance=time×rate

Calculation:

Let the speed of car be x ft/s.

Speed of truck in ft/s,

50mi/h=50×52803600ft/s=73.33ft/s

Tabulate the given information into the language of algebra.

 In words In algebra Speed of car x Effective speed x−73.33 Total distance 30+14=44

Model the equation for the above information.

speed×time=distance(x73.33)×6=44

Simplify the above equation for x,

6x439.98=446x=483.98x=80.66

Thus, the speed of car to completely pass the truck is 80.66 mi/h.

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