SOLUTION: A passenger jet travels from Los Angeles to Bombay, India, in 22h. The return flight takes 17 h. The difference in flight times is caused by winds over the Pacific Ocean that blo

Question 403672: A passenger jet travels from Los Angeles to Bombay, India, in 22h. The return flight takes 17 h. The difference in flight times is caused by winds over the Pacific Ocean that blow primarily from west to east. If the jet's average speed in still air is 550 mi/h what is the average speed of the wind during the round trip flight? Round to the nearest mile per hour. Is your answer reasonable?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A passenger jet travels from Los Angeles to Bombay, India, in 22h.
The return flight takes 17 h.
The difference in flight times is caused by winds over the Pacific Ocean that
blow primarily from west to east.
If the jet's average speed in still air is 550 mi/h what is the average speed
of the wind during the round trip flight? Round to the nearest mile per hour.
Is your answer reasonable?
:
Let w = speed of the wind
:
Write a distance equation (dist is the same both ways
17(550+w) = 22(550-w)
9350 + 17w = 12100 - 22w
17w + 22w = 12100 - 9350
39w = 2750
w =
w = 70.5 mph seems very reasonable
:
:
Check solution by finding the distances using these value
17(550+70.5) = 10549 mi
22(550-70.5) = 10549 mi; confirms our solution of w = 70.5 mph
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