SOLUTION: suppose you drive 100 mile home for fall break. your return trip took 30 minutes less because you drive 10 mph faster. What was your rate on the return trip?

Question 737804: suppose you drive 100 mile home for fall break. your return trip took 30 minutes less because you drive 10 mph faster. What was your rate on the return trip?
Answer by Ed Parker(21) (Show Source): You can put this solution on YOUR website!
suppose you drive 100 mile home for fall break. your return trip took 30 minutes less because you drive 10 mph faster. What was your rate on the return trip?

             distance     rate      time=distance/rate
going home     100         x            100/x 
returning      100        x+10          100/(x+10)

             
           hour

                  

Solve that and get x=40 mph going home and therefore the returning rate
is x+10 or 40+10 = 50 mph.

Edwin

RELATED QUESTIONS
suppose you drive 100 mile home for fall break. your return trip took 30 minutes less... (answered by Ed Parker)

Please help me solve this problem: Suppose it took you 30 minutes less to drive the 40... (answered by mananth)

Gerald drove 120 miles to his parent's home. His return trip took 1 hour less because he... (answered by lwsshak3)

Mister "W" took 20 minutes to drive his boat upstream to his favorite fishing place. His... (answered by mananth)

Kari took her new motorcycle for a drive to a town 300 miles away and then back home.... (answered by josmiceli)

How much time do you save if you drive 10 mph faster for 100... (answered by Alan3354)

You drive 220 miles to see a friend. The return trip takes 20 minutes less than the... (answered by ankor@dixie-net.com)

It took you 6 hrs to travel to town, and it took you 8 hrs to travel back, because your... (answered by stanbon)

joshua drove 200 miles to visit his grandmother. because of the rainy weather, his... (answered by robertb)