The correct answer is about 3.11 hours.
To find this, we can set up the inverse variation 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 plug these values into the equation to find k:
4 = k/35
k = 4 * 35
k = 140
Now we can use the constant of variation k to find how long it will take to drive the same distance at 45 miles per hour:
t = 140/45
t ≈ 3.11 hours
Therefore, it will take about 3.11 hours to drive the same distance at 45 miles per hour.
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
1 answer
13 answers