SOLUTION: This is a word problem I am having trouble setting it up.
It takes 5 hours for a jet plane traveling from L.A to New York with a wind blowing it from west to east. On the return
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Question 796955: This is a word problem I am having trouble setting it up.
It takes 5 hours for a jet plane traveling from L.A to New York with a wind blowing it from west to east. On the return trip it took the jet plane 6 hours. The distance between L.A and New York is approximately 4,000 miles.
How fast is the airplane if there is no wind? And how fast was the wind blowing?
Found 3 solutions by solver91311, josmiceli, richwmiller:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
5 hours to go 4000 miles is 800 miles per hour: Still air speed PLUS wind speed
6 hours to go 4000 miles is 666 2/3 miles per hour: Still air speed MINUS wind speed.
Solve the 2X2 system.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the wind
Let = the speed of the plane in still air
= the plane's speed going LA to NY
= the plane's speed going NY to LA
----------------
Flying LA to NY:
(1)
Flying NY to LA:
(2)
-----------------------
(1)
(2)
---------------------
Multiply both sides of (1) by
Multiply both sides of (2) by
Then add the equations
---------------------
(1)
(2)
and
(1)
(1)
(1)
(1)
The speed of the wind is 66.666 mi/hr
The speed of the plane in still air is 733.333 mi/hr
-----------
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
Distance from la to nyc is 2464 miles
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