# The speed of vehicle from Tortula to Cactus. ### 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 72E
To determine

## To find: The speed of vehicle from Tortula to Cactus.

Expert Solution

The speed of vehicle from Tortula to Cactus is 50 mi/h.

### Explanation of Solution

Given:

The distance from Tortula to Cactus is 250 mi and distance from Cactus from Dry Junction is 360 mi.

Kiran increases the speed in second leg by 10 mi/h. Total time for complete the trip is 11h.

Formula used:

Distance formula is,

distance=time×rate

Calculation:

Let the speed of vehicle from Tortula to Cactus be x ft/s.

Tabulate the given information into the language of algebra.

 Distance Speed Time Tortula to Cactus 250 x 250x Cactus to Dry Junction 360 x+10 360x+10

Model the equation for the above information.

(timefromTortulatoCactus)+(timefromCactustoDryJunction)=totaltime250x+360x+10=11

Simplify the above equation for x,

250(x+10)+360x=11x(x+10)(MultiplybyLCDx(x+10))250x+2500+360x=11x2+110x610x+2500=11x2+110x11x2500x2500=0

Factor the above equation.

(x50)(11x50)=0x=50,x=5011

The speed cannot be negative, so the speed is 50 mi/h.

Thus, the speed of vehicle from Tortula to Cactus is 50 mi/h.

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