Question

When Mr. Crain was driving to work in the morning, there was heavy traffic, so he was traveling at a speed of 25 mph. When he was coming back after work there where no traffic, so he drove at a speed of 45 mph. Find the distance from Mr. Crain's home to his office, if it took him 20 more minutes to get to work than to drive home.

Answer 1

Let the distance from home to work be x;
time=distance/speed
Time taken to travel to work is:
time=x/25
Time taken to reach home from work:
time=x/45
given that it took him 20 min more to travel to work than going home we shall have:
x/25-x/45=20/60
solving for x we get:
x=75/4=18.75 miles