Asked by Help, pls
A plane can fly a certain distance in 6 hours with the wind, but can return only three-fourths the distance in the same time. If the speed of the plane in still air is 200 km per hour, find the velocity of the wind.
Answers
Answered by
Reiny
let the speed of the wind be x km/h
so distance with the wind = 6(200+x) km
distance against the wind = 6(200-x)
but 6(200-x) = (3/4)(6(200+x))
solve for x , let me know what you get.
so distance with the wind = 6(200+x) km
distance against the wind = 6(200-x)
but 6(200-x) = (3/4)(6(200+x))
solve for x , let me know what you get.
Answered by
Help, pls
to the solution, x (the speed of the wind) is 200/7. But to the answer key it is 80 km/h. I am really confused :/
Answered by
Wyatt Bendickson
28.57 km/h
Answered by
Reiny
The speed of the wind is indeed 200/7 or 28.57 mph
check:
with the help of the wind the plane is moving at
228.57 mph, for 6 hrs = 1371.43 kkm
against the wind, the plane is moving at 200-28.57 or 171.43 km/h, and for 6 hours that would be 1028.57
and (3/4)(1371.43) = 1028.57
Your answer key of 80 km/h is incorrect
check:
with the help of the wind the plane is moving at
228.57 mph, for 6 hrs = 1371.43 kkm
against the wind, the plane is moving at 200-28.57 or 171.43 km/h, and for 6 hours that would be 1028.57
and (3/4)(1371.43) = 1028.57
Your answer key of 80 km/h is incorrect
Answered by
Help, pls
Thanks a lot. I will tell my teacher about this. I spent hours trying to solve this. I feel tricked :)
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