SOLUTION: Plane B is flying 95⁢mph faster than Plane A. Find the time it takes for Plane A to travel 1425 miles if it takes Plane B the same amount of time to travel 1710 miles.

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Question 1065570: Plane B is flying 95⁢mph faster than Plane A. Find the time it takes for Plane A to travel 1425 miles if it takes Plane B the same amount of time to travel 1710 miles.

Answer by ikleyn(52794) About Me  (Show Source):
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Plane B is flying 95 mph faster than Plane A. Find the time it takes for Plane A to travel 1425 miles
if it takes Plane B the same amount of time to travel 1710 miles.
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Let "u" be the speed of the plane A, in mph.

Then the speed of the plane B is (u+95) mph, according to the condition.

Flight time for plane A is 1425%2Fu hours  ( remember, speed = distance/time ! )

Flight time for plane B is 1710%2F%28u%2B95%29.

The condition says these times are the same (!). It gives you an equation

1425%2Fu = 1710%2F%28u%2B95%29.

You need to solve it for u.

To make it, multiply both sides by u*(u+95). You will get

1425(u+95) = 1710u.

Can you complete the solution on your own from this point ?

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