Word problem

Question

Erin walks up a hill at 3 miles per hour and jogs down the same hill at 6 mikes per hour. If it takes her 15 minutes longer to walk uphill than to jog downhill, how far up the hill does Erin walk?

Answer 1

distance = rate x time

 

D = 3*(T+1/4) = 6*T

 

    3T + 3/4 = 6T

    3/4 = 3T

   

  T = 1/4

 

  3(1/4 + 1/4) = 3(1/2) = 3/2<-- 

 up hill takes 15 min=1/4 hr longer

 

 

  6(1/4) = 6/4 = 3/2

 

 It is 3/2 miles or 1.5 miles