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Raina drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 6 hours. When Raina drove home, there was no traffic and the trip only took 4 hours. If her average rate was 22 miles per hour faster on the trip home, how far away does Raina live from the mountains

 Feb 26, 2020
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ALL of these questions require that you know     RATE  *  TIME = DISTANCE

 

Distance is the same for both ways on her trip      d

 

 

rateu =x

rated =  x+22

 

 x * 6 =    d     on the way up to the mts       and        (x+22) * 4   =d    on the way back (they are equal d)

x*6   =   (x+22)*4    solve for x    her rate going up....then    

                                                               distance  =    rate * time  = x * 6

 Feb 26, 2020

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