Question

Aidan drives to school and back each day. The school is 16 miles from his home. He averages 40 miles per hour on his way to school. If his total trip takes 1 hour, at approximately what speed does Aidan drive home?

Answer 1

First we have to answers stand that speed is equivalent to the distance traveled in a certain time span. That is speed = distance/time. Conversely, time = distance/speed. We are asked to find the speed going home given, distance, total time and speed going to school. We can answer this equation by adding the time Aidan is spending going and coming back from school 

t = (distance to school)/(speed to school) + (distance to home)/(speed to home)

1hour = (16)/(40) + (16)/(speed to home) 

Speed to home = 26.67miles/hour