When mr.crain was driving to work in the morning, there was heavy traffic, so he was travelling at a speed of 25 mph. when he was coming back after work there was no traffic, so he drove at a speed of 45 mph. find the distance between mr. crains home to his office, if it took him 20 more mins to get to work than to drive home?

Respuesta :

9514 1404 393

Answer:

  18.75 miles

Step-by-step explanation:

Let d represent the unknown distance in miles. Then the travel time difference in hours is ...

  time = distance/speed

  d/25 -d/45 = 1/3

  d(45 -25)/(45·25) = 1/3

  d = (45·25)/(3·20) = 75/4

  d = 18.75 . . . . miles

The distance between home and office is 18.75 miles.