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Mai drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Mai drove home, there was no traffic and the trip only took 6 hours. If her average rate was 16 miles per hour faster on the trip home, how far away does Mai live from the mountains?

 Mar 10, 2020
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Distance is equal both ways

 

rate * time = distance            equate the two equations for distance:

 

r*8  =  (r+16)6        solve for   r   = 48 m/hr     then r+16 = 64  m/hr

 

we know here rate     in both directions   and the time invoved       8 hrs x 48 m/hr = 384 m

                                                                                                         6 hrs x 64 m/hr = 384 m

 Mar 10, 2020

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