Problema Solution

How bad is the heavy traffic? You can jog 8 miles in the same time that it takes to travel 16 miles by car. If the car's rate is 7 miles per hour faster than your jogging rate, find the average rate of each.

Your jogging rate is _____miles per hour.

Answer provided by our tutors

Distance = Rate * Time

Time = Distance / Rate

8 / Jog Rate = 16 / Car Rate

call J = Jog Rate in mph

C = car rate in mph

8/J = 16/C  ;   J/8  = C/16 ; C = 2J

C = J + 7

2J = J + 7

J = 7 mph (jogging)

C = 7 + 7 = 14 mph (car)