a private jet can fly 1,210 miles against the headwind in the same amount of time it can fly 1,694 miles with a 25 mph tailwind. find the speed of the jet

Let us assume speed of the Jet = x mph.

We are given speed of wind = 25 mph.

Total speed of the Jet with tailwind = (x+25) mph.

Total speed of the Jet with headwind = (x-25) mph.

We know, relation among time, rate and time is given by formula:

Time = Distance/Speed.

Time taken against the headwind = 1210 / (x-25). Time taken against the tailwind = 1694 / (x+25).

Both times are same.

Therefore,

1210 / (x-25) = 1694 / (x+25)

On cross multiplying, we get

1210 (x+25) = 1694 (x-25)

1210x + 30250 = 1694x - 42350.

Adding 42350 on both sides,

1210x + 30250+42350 = 1694x - 42350 + 42350.

1210x + 72600 = 1694x

Subtracting 1210x from both sides, we get

1210x-1210x + 72600 = 1694x - 1210x

72600 = 484x.

Dividing both sides by 484, we get

72600/484 = 484x/484.

150 = x. Therefore, the speed of the Jet is 150 mph ...

Step-by-step explanation:

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