lheiannie07 wrote:It takes Joey the postman 1 hour to run a 3 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 5 mile/hour, what is the speed with which Joey returns?
A. 11
B. 12
C. 13
D. 14
E. 15
Since Joey's average rate for the whole trip = 5 mph, and the total distance back and forth = 6 miles, Joey's total time for the whole trip = d/r = 6/5 hours.
Since his delivery time = 1 hour, his return time = (total time) - (delivery time) = (6/5) - 1 = 1/5 hour.
Thus, Joey's rate when he returns to the post office = (return distance)/(return time) = 3/(1/5) = 15mph.
The correct answer is
E.
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