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18.John can ride his bicycle 86 miles in the same time that Ron can ride his bicycle 67 miles. John’s speed is 5 miles per hour more than Ron’s speed. What is Ron’s speed? Round your answer to the nearest tenth. [For full credit, set up an equation and solve it.]



Answer :

John: 86 miles in t hours

Ron: 67 miles in t hours

The speeds are:

John: 86/t

Ron: 67/t

But John's speed is 5 miles per hour more than Ron's speed. Then:

86/t = 67/t + 5

Solving for t:

86/t - 67/t = 5

(86 - 67)/t = 5

19/5 = t

Then, Ron's speed is:

67/t = 67/(19/5) = 67*5/19 = 17.6 miles per hour

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