A bird flying in the same direction as that of the wind, covers a distance of 45 km in 2 hours and 30 minutes. But it takes 4 hours 30 minutes to cover the same distance when it flies against the direction of wind. ignoring conditions other than the wind conditions, find the speed of bird in still air and the speed of wind
A bird flying in the same direction as that of the wind, covers a distance of 45 km in 2 hours and 30 minutes. But it takes 4 hours 30 minutes to cover the same distance when it flies against the direction of wind. ignoring conditions other than the wind conditions, find the speed of bird in still air and the speed of wind
Let the speed of the bird in still air be x km/h and the speed of wind be y km/h
When the bird flies in the direction of the wind the effective speed is = (x+y) km/h
When the bird flies opposite to the direction of the wind the effective speed is = (x-y) km/h
Distance flown = 45 km
Distance/time = speed
According to question
45/2.5 = x+y
⇒ x+y = 18 (equation 1)
Also 45/4.5 = x-y
⇒ x-y = 10 (equation 2)
adding equations 1 and 2
2x=28
⇒ x =14 km/h
subtracting equations 1 and 2
2y = 8
⇒ y = 4 km/h
Hence, the speed of the bird in still air is x = 14 km/h and the wind speed is y = 4 km/h
Let the speed of the bird in still air be x km/h and the speed of wind be y km/h
When the bird flies in the direction of the wind the effective speed is = (x+y) km/h
When the bird flies opposite to the direction of the wind the effective speed is = (x-y) km/h
Distance flown = 45 km
Distance/time = speed
According to question
45/2.5 = x+y
⇒ x+y = 18 (equation 1)
Also 45/4.5 = x-y
⇒ x-y = 10 (equation 2)
adding equations 1 and 2
2x=28
⇒ x =14 km/h
subtracting equations 1 and 2
2y = 8
⇒ y = 4 km/h
Hence, the speed of the bird in still air is x = 14 km/h and the wind speed is y = 4 km/h
