SOLUTION: A commercial airliner can travel 750 miles in the same amount of time that it takes a private plane to travel 300 miles. The speed of the airliner is 60 mph more than twice the spe

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Question 1141378: A commercial airliner can travel 750 miles in the same amount of time that it takes a private plane to travel 300 miles. The speed of the airliner is 60 mph more than twice the speed of the private plane. Find the speed of each aircraft.
Found 3 solutions by josgarithmetic, ankor@dixie-net.com, greenestamps:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
            SPEED       TIME               DISTANCE

jet         2r+60      750/(2r+60)          750

plane         r          300/r              300

Given "same amount of time",
750%2F%282r%2B60%29=300%2Fr
Solve for r and evaluate 2r+60.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A commercial airliner can travel 750 miles in the same amount of time that it takes a private plane to travel 300 miles.
The speed of the airliner is 60 mph more than twice the speed of the private plane.
:
let s = the speed of the private plane
then
(2s+60) = the speed of the commercial airliner
:
Write a time equation; time = dist/speed
300%2Fs = 750%2F%28%282s%2B60%29%29
cross multiply
750s = 300(2s+60)
750s = 600s + 18000
750s - 600s = 18000
150s = 18000
s = 18000/150
s = 120 mph is the speed of the private plane
then
2(120) + 60 = 300 mph is speed of the commercial airliner
:
:
Check this find the actual time for each
300/120 = 2.5 hrs
750/300 = 2.5 hrs, confirms our solutions

Find the speed of each aircraft

Answer by greenestamps(13216) About Me  (Show Source):
You can put this solution on YOUR website!


The ratio of the distances flown is 750:300 = 5:2. Since the times are the same, the ratio of the speeds is 5:2. So let the two speeds be 5x and 2x.

The speed of the airliner in mph is 60 more than twice the speed of the private plane:

5x+=+2%282x%29%2B60
5x+=+4x%2B60
x+=+60

The speeds of the two aircraft are 5x = 300mph and 2x = 120mph.