Question

steven traveled for 10 hours at a constant rate of 53 miles per hour. Stephanie traveled at the same distance at a constant rate of 48 miles per hour. How long did it take stephanie to travel the same distance as steven, write an equation to solve.

Answer 1

It took 11.04 hours by Stephanie.

Explanation:

Concept

distance = speed*time

time = distance/time

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Given

for Steven

time = 10 hours

speed = 53 miles per hour

Distance for steven = 53*10 = 530 miles

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Now ,

as Stephanie also traveled the same distance as steven

Distance = 530 miles

speed = 48 miles per hour

time = 530/48 hour = 11.04 hours

Thus, It took 11.04 hours by Stephanie.

In other way

since distance traveled by Steven and Stephanie are same

let time taken by Stephanie be x hours

Distance traveled by steven = Distance traveled by Stephanie

53*10 = 48*x

x = 530/48 = 11.04 hours

equation = 53*10 = 48*x