Asked by joy
When an airplane flies with a given wind, it can travel 3000 km in 5hrs. When the same airplane flies in the opposite direction against the wind it takes 10hrs to fly the same distance. Find the speed of the plane in still air and the speed of the wind.
Answers
Answered by
Reiny
speed of plane in still air --- x km/h
speed of wind ---- y km/h
speed of plane with the wind --- x+y km/h
speed of plane against the wind -- x-y km/h
first fact:
5(x+y ) = 3000
x+y = 600 #1 equation
second fact:
10(x-y) = 3000
x-y = 300 #2 equation
add #1 + #2, it becomes so easy.
speed of wind ---- y km/h
speed of plane with the wind --- x+y km/h
speed of plane against the wind -- x-y km/h
first fact:
5(x+y ) = 3000
x+y = 600 #1 equation
second fact:
10(x-y) = 3000
x-y = 300 #2 equation
add #1 + #2, it becomes so easy.
Answered by
joy
speed of a plane in still air is 450
speed of wind is 150
speed of wind is 150
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