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A cyclist covers 72 km at a uniform speed. Had the speed been 6 km/h more, the ride would have taken 1 hour less. Find the original speed.

Competition practiceAlgebra

A18 km/h
B24 km/h
C12 km/h
D16 km/h

Step-by-Step Solution

72/ v - 72/ (v + 6) = 1

gives

v (v + 6) = 432, v^{2} + 6 v - 432 = 0, (v - 18) (v + 24) = 0

, so

v = 18

km/h.

Answer: A) 18 km/h

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