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?

Let the distance be x miles

The time used at 25mph is  {{{x/25}}}

The time used at 30mph is  {{{ x/30}}}

the difference is 30 min, or 0.5 hr

So we have this equation:

{{{x/25}}} - {{{x/30}}} = 0.5

Solve it: multiply both sides by 150

6x - 5x = 75

x = 75

So the distance is 75 miles