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Question

The time it takes to complete a go-cart course is inversely proportional to the average speed of the go-cart. One rider has an average speed of 73.3 feet per second and completes the course in 30 seconds. A) What is the constant of variation? B) If another rider completed the course in 25 seconds, what was his speed?

Answer 1

30 = k/73.3

k = 30(73.3) = 2199 = constant of variation

t = k/s

t = 2199/s where t= time, s= speed

25 = 2199/s

s = 2199/25 = 87.96 feet per second