SOLUTION: Flying with a tailwind a jet can fly 2520 miles in 4 hours. Flying against the same wind, it covers 1720 miles in the same amount of time. Determine the speed of the jet in calm ai

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Question 508978: Flying with a tailwind a jet can fly 2520 miles in 4 hours. Flying against the same wind, it covers 1720 miles in the same amount of time. Determine the speed of the jet in calm air.
Found 2 solutions by mananth, josmiceli:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Plane speed= x mph
Wind speed = y mph
with current speed= (x+y)
against current speed= (x-y)
d= 2520 with Wind
2520 / (x+y) = 4
divide by 4
630 / (x+y) = 1
(x+y) = 630 ............1
d= = 1720 against wind
1720 /(x-y)= 4
divide by 4
430 /(x-y) = 1
x - y = 430 .............2
add up (1) & (2)
2 x = 1060
/ 2
x= 530 mph speed of Plane
plug value of x in (1)
we get y= 100 mph Wind speed
m.ananth@hotmail.ca

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let p = speed of the jet in calm air
Let w = speed of wind
given:
(1) +p+%2B+w+=+2520%2F4+
(2) +p+-+w+=+1720%2F4+
-------------------
(1) +p+%2B+w+=+630+
(2) +p+-+w+=+430+
Add the equations
+2p+=+1060+
+p+=+530+
and, since
(2) +p+-+w+=+430+
(2) +530+-+w+=+430+
(2) +w+=+530+-+430+
(2) +w+=+100+
The speed of the jet in calm air is 530 mi/hr