SOLUTION: A plane travels from town A to town B at a constant speed of 400 mph and returns along the same route at a constant speed of 600mph. what is the plane's average speed for the round

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Question 853679: A plane travels from town A to town B at a constant speed of 400 mph and returns along the same route at a constant speed of 600mph. what is the plane's average speed for the round trip in miles per hours?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A plane travels from town A to town B at a constant speed of 400 mph and returns along the same route at a constant speed of 600mph.
what is the plane's average speed for the round trip in miles per hours?
:
Let d = the one-way distance of the trip
then
2d = the round trip
:
Let a = the average speed for the round drip
:
Write time equation; time = dist;/speed
AB time + BA time = total time
d%2F400 + d%2F600 = %282d%29%2Fa
multiply equatin by 1200a, cancel the denominators and you have
3ad + 2ad = 1200(2d)
5ad = 2400d
divide both sides by d
5a = 2400
a = 2400/5
a = 480 mph av speed