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 393.75 hours
We can set up the equation: t = k/r, where t is the time, r is the speed, and k is a constant.
To find the value of k, we can plug in the values from the given information: 4 = k/35.
To solve for k, we can multiply both sides of the equation by 35: 4 * 35 = k.
Therefore, k = 140.
Now we can use the value of k to find the time it takes to drive the same distance at 45 mph.
t = 140/45
t ≈ 3.11
Therefore, it will take about 3.11 hours to drive the same distance at 45 miles per hour.