BuyFind

Precalculus: Mathematics for Calcu...

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

Precalculus: Mathematics for Calcu...

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

Solutions

Chapter 1.6, Problem 69E
To determine

To find: The speed of jet from Montreal to Los Angeles.

Expert Solution

Answer to Problem 69E

The speed of jet from Montreal to Los Angeles is 500 mi/h.

Explanation of Solution

Given:

Distance between Montreal and Los Angeles is 2500 mi.

The average speed was 20% faster than outbound trip on return trip.

Time taken to complete the round trip is 9 h 10 min.

Formula used:

Distance formula

distance=time×rate

Calculation:

Let the speed of first cyclist be x.

Tabulate the given information into the language of algebra.

Distance Speed Time
Montreal to LA 2500 x 2500x
LA to Montreal 2500 1.2x 25001.2x

Model the equation for the above information.

(timeforMontrealtoLA)+(timeforLAtoMotreal)=totaltime2500x+25001.2x=556

Simplify the above equation for x,

1.2×2500+2500=556×1.2x(MultiplybyLCD1.2x)3000+2500=11x5500=11xx=500

Thus, the speed of jet from Montreal to Los Angeles is 500 mi/h.

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