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

Algebra ->  Customizable Word Problem Solvers  -> Travel -> 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

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) About Me  (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 x%2F25
The time used at 30mph is +x%2F30
the difference is 30 min, or 0.5 hr
So we have this equation:
x%2F25 - x%2F30 = 0.5
Solve it: multiply both sides by 150
6x - 5x = 75
x = 75
So the distance is 75 miles