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Some kids went on a bike ride. The ride was six hours long and the kids traveled 54 miles. For part of the ride they biked at a speed of 7 miles per hour and for part of the ride they biked at a speed of 11 miles per hour. For how long did they bike at the first speed and for how long at the other speed?

 Feb 22, 2020
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Let t hours be the time travelled at 7mph. Then:

 

7t + 11(6 - t) = 54

 

-4t = -12

 

t = 3 hours at 7mph

 

Hence 6 - 3 = 3 hours at 11 mph.

 Feb 22, 2020

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