Flying with the wind a plane went 386 km/h. Flying into the same wind the plane only went 318 km/h. find the speed of the plane in still air and the speed of the wind.

Question

Mathematics

Hana Graves

26 October, 16:14

Flying with the wind a plane went 386 km/h. Flying into the same wind the plane only went 318 km/h. find the speed of the plane in still air and the speed of the wind.

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Answers (1)

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Armando Long · Answer 1

Speed of plane in air is 352 km/hr and speed of wind is 34 km/hr

Step-by-step explanation:

Average speed of plane in with wind = 386 km/h

Average speed of plane against wind = 318 km/hr

Consider the speed of plane in wind be x km/hr and speed of plane against wind be y km/hr

As such speed of plane in wind would be x + y km/hr and speed of plane against wind would be x - y km/hr. i. e

x+y = 386

x-y = 318

by solving these two equation, we get

2x=704

x = 352 km/hr

y=386 - 352

y = 34 km/hr

Hence, Speed of plane in air is 352 km/hr and speed of wind is 34 km/hr