The time t required to drive a certain distance varies inversely with the speed r. If it takes 4 hours to drive the distance at 35 miles per hour, how long will it take to drive the same distance at 45 miles per hour?
(1 point)
Responses
about 3.11 hours
about 3.11 hours
140 hours
140 hours
about 5.14 hours
about 5.14 hours
393.75 hours
about 3.11 hours
To solve this problem, we can set up the equation t = k/r, where t is the time, r is the speed, and k is the constant of variation.
Given that it takes 4 hours to drive the distance at 35 miles per hour, we can set up the equation as 4 = k/35.
Solving for k, we get k = 4 * 35 = 140.
Now, we can use the constant of variation to find the time it takes to drive the same distance at 45 miles per hour: t = 140/45 = about 3.11 hours.
Therefore, it will take about 3.11 hours to drive the same distance at 45 miles per hour.