SOLUTION: A bicylist riding against the wind averages 10 miles per hour in traveling from A to B. When the wind averages 15 miles per hour in returning from A to B, how many miles per hour i
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Question 761779: A bicylist riding against the wind averages 10 miles per hour in traveling from A to B. When the wind averages 15 miles per hour in returning from A to B, how many miles per hour is his average speed for the round trip? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A bicyclist riding against the wind averages 10 miles per hour in
traveling from A to B.
With the wind, averages 15 miles per hour in returning from B to A,
how many miles per hour is his average speed for the round trip?
:
Let a = average speed for the trip
Let d = the one-way distance
:
Write a time equation: time = dist/speed
:
against time + with time = total time + =
multiply by 30a to clear the denominators, results
2a(d) + 3a(d) = 30(2d)
2ad + 3ad = 60d
5ad = 60d
divide both sides by d
5a = 60
a = 60/5
a = 12 mph is the average speed for the trip
