Question

Luke rides his bike to his aunt's house. He travels 10 mi/h. Because it starts to rain, Luke's aunt drives him home in a car traveling at 25 mi/h. It takes Luke 1.5 h longer to get to his aunt's house than to return home. How many hours did it take Luke to ride to his aunt's house?

Answer 1

2.5 hours

Explanation:

Let t = time in hours for reach friend's house

(t-1.5) = time for friend to drive her home

:

Both trips are the same distance, Write a distance equation from this fact:

Distance = speed * time

Drive distance = Bike distance

Equation-

step1) 25 (t-1.5) = 10t (here u multiply 25 by t and 25 by 1.5)

step2) 25t - 37.5 = 10t (move 37.5)

step3) 25t - 10t = +37.5 (subtract 25t from 10t)

step4) 15t = 37.5 (divide 37.5 by 15)

step5) t = 2.5 (time it took Luke to reach his aunt's house)