19 of 3219 of 32 Items Question 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
To solve this problem, we can use the inverse variation formula:
t = k/r
where t is the time, r is the speed, and k is the constant of variation.
First, we can plug in the values given in the problem when the speed is 67 miles per hour:
2 = k/67
Solving for k, we get:
k = 2 * 67
k = 134
Now we can use this value of k to find the time required to drive the same distance at 55 miles per hour:
t = 134/55
t ≈ 2.4364 hours
Therefore, it will take about 2.44 hours to drive the same distance at 55 miles per hour. The closest response option is about 2.45 hours.