## Description

If a plane can travel 470 mph with the wind and 430 mph against the wind , find the speed of the plane without a wind and speed of the wind.

## Explanation & Answer

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Let speed of plane be x.

Let speed of wind be y.

x + y = 470 --- (1)

x - y = 430 --- (2)

From (2), we have:

y = x - 430 --- (3)

Substituting (3) into (1), we will get:

x + x - 430= 470

2x = 900

x = 450

Substituting x = 450 into (3), we will get:

y = 450 - 430

y = 20

Hence, speed of plane is 450 mph, while speed of wind is 20 mph.