A cyclist rode the 1st 20 mile portion of his workout, at a constant speed. For the 12 mile cool down portion of his workout, he reduced his speed by 4 miles per hour. Each portion of the workout took the same time. Find the cyclist speed during the first portion, and find his speed during the cool down portion

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Precious Boyer

22 December, 07:12

A cyclist rode the 1st 20 mile portion of his workout, at a constant speed. For the 12 mile cool down portion of his workout, he reduced his speed by 4 miles per hour. Each portion of the workout took the same time. Find the cyclist speed during the first portion, and find his speed during the cool down portion

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Answers (1)

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Maxwell Morales · Answer 1

10 mph

Explanation:

20 / x = 12 / (x - 4)

Cross multiply

12x = 20 (x - 4)

12x = 20x - 80

80 = 20x - 12x

80 = 8x

divide through by '8'

10 = x

x = 10 mph