Question 376373: Flying against the wind, an airplane travels 3640 km in 7 hours. Flying with the wind, the same plane travels 6000 km in 6hrs. What is the rate of the plane in still air and what is the rate of the wind?
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! Flying against the wind, an airplane travels 3640 km in 7 hours. Flying with the wind, the same plane travels 6000 km in 6hrs. What is the rate of the plane in still air and what is the rate of the wind?
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against the wind, an airplane travels 3640 km in 7 hours.
with the wind, the same plane travels 6000 km in 6hrs.
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let speed of plane in still air be x mph
speed of wind be y mph.
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t=d/r
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against wind speed = x-y mph
with wond speed = x=y mph
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3640/(x-y)=7
3640 = 7x-7y
/7
520=x-y.....................1
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6000/x+y = 6
6000 = 6x+6y
/6
1000=x+y.....................2
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Add (1) & (2)
2x=1520
/2
x=760 mph speed of plane in still air
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plug value of x in 2
1000=760+y
100-760=y
240 = y
240 mph speed of wind
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m.ananth@hotmail.ca
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