Alice cycles to Carla's house at 12 miles per hour and returns by car at 36 miles per hour. If the round trip took 1 hour, how far from Carla does Alice live?

Guest Oct 27, 2017

#1**+2 **

Let the time she travels at 12 mph = x minutes and if she trqvels back at 36 mph.....since this is 3 times as fast...it must take her x / 3 minutes to return

So

x + x/3 = 60 mutiply through by 3

3x + x = 180

4x = 180 divide by 4

45 = x

So....she travels 45/3 minutes = 15 minutes at 36 mph

And since 15 minutes = 1/4 hr......the distance is

Rate x Time = 36mph x 1/4 hr = 9 miles

CPhill
Oct 27, 2017