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?

9514 1404 393

  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.

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step-by-step explanation: