A jet travels miles against the wind in hours and miles with the wind in the same amount of time. What is the rate of the jet in still air and what is the rate of the wind

Respuesta :

The rate of the jet in still air is 730 mph and the rate of the wind is 65 mph.

How to find the rate of speed?

Let R be rate of jet in  still air.

Let W be wind speed

Thus;

Rate of jet with the wind = R + W

Rate of jet against the wind = R - W

We know that rate of speed is given by;

R = D/T

Thus;

R  -  W = 1330/2

R - W = 665   -----(eq 1)

Similarly;

R  +  W  = 1590/2

R + W = 795   ----(eq 2)

Adding eq 1 to eq 2 gives;

2R = 1460

Rate of jet in still air: R = 730 mph

Rate of wind:

730 + W = 795

W = 65 mph

Complete Question is;

A jet travels 1330mi against the wind in 2 hours and 1590mi with the wind in the same amount of time. What is the rate of the jet in still air and what is

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