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Grady rides his bike 60% faster than his little brother Noah. If Grady rides 12 miles further than Noah in two hours, how fast does Noah ride?

 May 28, 2020
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Let  r  represent the rate at which Noah rides.

Then  1.6r  represents the rate at which Grady rides.

 

Time  =  2 hours

 

Distance  =  rate x time

 

Distance of Grady  =  Distance of Noah + 12 miles

       1.6r x 2            =            r x 2            + 12

                       3.2r  =  2r + 12

                       1.2r  =  12

                            r  =  10

 

Noah rides at the rate of 10 miles per hour.

 May 28, 2020

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