SOLUTION: Flying against Flying against the wind, an airplane travels 3800km in 5 hours. Flying with the wind, the same plane travels 3660km in 3 hours. What is the rate of the plane in sti
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Question 1025411: Flying against Flying against the wind, an airplane travels 3800km in 5 hours. Flying with the wind, the same plane travels 3660km in 3 hours. What is the rate of the plane in still air and what is the rate of the wind? Answer by mananth(16946) (Show Source):
Distance against 3800 km distance with 3660 km
t=d/r against wind -
3800 / ( x - y )= 5
5 ( x - y ) = 3800
5 x - 5 y = 3800 ....................1
3660 / ( x + y )= 3.00
3.00 ( x + y ) = 3660
3.00 x + 3.00 y = 3660 ...............2
Multiply (1) by 4
Multiply (2) by 6
we get
20.00 x + -20 y = 15200
18.00 x + 18 y = 21960
38 x = 37160
/ 38
x = 978 km/h
plug value of x in (1)
5 x -5 y = 3800
4889 -5 y = 3800
-5 y = 3800 -4889
-5 y = -1089 mph
y = 218
Plane speed 978 km/h
wind speed 218 km/h
