SOLUTION: the speed R to drive a constant distance is inversely proportional to the time T. Shari drove from her home to her vacation cottage in 6 hours at a rate of 35 miles per hour. find

Question 889614: the speed R to drive a constant distance is inversely proportional to the time T. Shari drove from her home to her vacation cottage in 6 hours at a rate of 35 miles per hour. find the rate she needs to drive to get back in 5 hours.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the speed R to drive a constant distance is inversely proportional to the time T.
Shari drove from her home to her vacation cottage in 6 hours at a rate of 35 miles per hour.
find the rate she needs to drive to get back in 5 hours.
:
r = rate to make in 5 hrs
an inverse ratio equation
=
5r = 6 * 35
r = 210/5
r = 42 mph to make it in 5 hrs
:
:
Check it. find the distance traveled at each speed, should be the same
35 * 6 = 210 mi
42 * 5 = 210 mi

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