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If a runner who runs at a constant speed of p miles per hour runs a mile in exactly p minutes, what is the integer closest to the value of p?

 

Can I get a step by step or an explanation, please?

 Feb 17, 2019
 #1
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Solve for p:
p/60 = 1/p

Cross multiply:
p^2 = 60

Take the square root of both sides:

 p = 2 sqrt(15) = 7.745967 - miles per hour =1 mile in exactly in 7.745967 minutes.

 Feb 17, 2019
 #2
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OMG thank you soo much you are a lifesaver I get how to solve this now thank you soo much!

IDontKnowMath  Feb 17, 2019

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