SOLUTION: a passenger plane made a trip between two cities in 3 hours. a cargo plane made the same trip in 4 hours. if the passenger plane flew at 75 miles per hour faster, how fast did the

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Question 737030: a passenger plane made a trip between two cities in 3 hours. a cargo plane made the same trip in 4 hours. if the passenger plane flew at 75 miles per hour faster, how fast did the cargo plane fly?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a passenger plane made a trip between two cities in 3 hours.
a cargo plane made the same trip in 4 hours. if the passenger plane flew at 75 miles per hour faster, how fast did the cargo plane fly?
:
Let s = speed of the cargo plane
then
(s+75) = speed of the pass plane
:
let d = distance between the two cities
;
Write an time equation for each plane's trip
d/s = 4
therefore:
d = 4s
and
d/(s+75) = 3
:
replace d with 4s
%284s%29%2F%28%28s%2B75%29%29 = 3
4s = 3(s+75)
4s = 3s + 225
4s - 3s = 225
s = 225 mph is the speed of the cargo plane
:
:
You can confirm this, find d and check the times with 225 and 300 mph