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?

Question

Dania Schwartz

Mathematics

1 December, 19:24

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?

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Answers (1)

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Konnor Stanton · Answer 1

Let the time taken to travel to work be x hours

Time taken to travel from work will be (x-1/3) hours

the formula for distance is:

distance=speed*time

Distance traveled in both instances are the same, thus we shall have:

25x=45 (x-1/3)

solving for x we get

25x=45x-15

-45x+25x=-15

-20x=-15

x=3/4 hours

thus the distance traveled from home to office was:

20 (3/4) = 15 miles