The time t required to drive a certain distance varies inversely with the speed, r. If it takes 2 hours to drive the distance at 67 miles per hour, how long will it take to drive the same distance at 55 miles per hour?

(1 point)
Responses

about 1.64 hours
about 1.64 hours

about 134.00 hours
about 134.00 hours

about 2.45 hours
about 2.45 hours

about 61.00 hours

1 answer

about 2.45 hours

This can be calculated using the formula for inverse variation: t = k/r, where k is a constant.

First, determine the value of k using the information given:

2 = k/67
k = 134

Then, plug in the new speed (55 miles per hour) to find the new time:

t = 134/55
t ≈ 2.45 hours

Therefore, it will take about 2.45 hours to drive the same distance at 55 miles per hour.