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# I NEED HELP

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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?

Oct 27, 2017

### 2+0 Answers

#1
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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

Oct 27, 2017
#2
+1

Let the distance between Alice and Carla's house =D
Time=Distance / Speed
D/12 + D/36 =1, solve for D
D = 9 miles the distance between the 2 houses.

Oct 27, 2017

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