Question

Over a specified distance, rate varies inversely with time. If a car on a test track goes a certaindistance in one-half minute at 166 mph, what rate is needed to go the same distance intwo-thirds minute?

Answer 1

Answer:

124.5 mph is needed to go the same distance in two-thirds minute

Step-by-step explanation:

Let rate = r

and time = t

Since rate varies inversely with time, we have:

r = k/t ....................................................(1)

Where k is constant

Given

r = 166 mph, and t = 1/2, we can find the value of k as follows:

166 = k/(1/2)

k = 1/2 * 166

= 83

Substituting the value of k into equation (1)

r = 83/t ....................................................(2)

For r = ? and t = 2/3, we have:

r = 83/(2/3)

= 83 * 3/2

= 124.5 mph

124.5 mph is needed to go the same distance in two-thirds minute