SOLUTION: John travels from his home to the office at a rate of 25 miles per hour. By traveling 5 mile per hour faster, he took 30 less minutes to return home. How far is his office from h
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Question 163589: John travels from his home to the office at a rate of 25 miles per hour. By traveling 5 mile per hour faster, he took 30 less minutes to return home. How far is his office from home?
Answer by mathispowerful(115) (Show Source): You can put this solution on YOUR website!
John travels from his home to the office at a rate of 25 miles per hour. By traveling 5 mile per hour faster, he took 30 less minutes to return home. How far is his office from home?
Let the distance be x miles
The time used at 25mph is
The time used at 30mph is
the difference is 30 min, or 0.5 hr
So we have this equation:
- = 0.5
Solve it: multiply both sides by 150
6x - 5x = 75
x = 75
So the distance is 75 miles
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