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

Algebra.Com
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)   (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
= 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

RELATED QUESTIONS

A passenger plane and a cargo plane leave at the same time from the same airport but... (answered by checkley77)
A passenger plane made a trip to las veges and back. On the trip there, it flew 432 mph.... (answered by fractalier)
A passenger plane left Tokyo and flew toward Las Vegas. Two hours later a cargo plane... (answered by Edwin McCravy,greenestamps,ikleyn,mccravyedwin)
Two airplane (a passenger plane and a cargo plane) leave Abbotsford airport at the same... (answered by Alan3354)
Two airplane (a passenger plane and a cargo plane) leave Abbotsford airport at the same... (answered by Fombitz)
A cargo plane left Tokyo and flew toward Las Vegas at an average speed of 385.6 km/h.... (answered by checkley77)
A cargo plane left Los Angeles and flew east at an average speed of 320 km/h. Some time... (answered by lwsshak3)
A passenger plane made a trip to Las Vegas and back. On the trip there it flew 432 mph... (answered by josmiceli)
A passenger plane made a trip to Las Vegas and back. On the trip there it flew 432 mph... (answered by ankor@dixie-net.com)