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.
<h3>Time taken against the headwind = 1210/(x-25).</h3><h3>Time taken against the tailwind = 1694/(x+25).</h3>
Both times are same.
Therefore,
<h3>1210/(x-25) = 1694/(x+25)</h3>
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.
<h3>150 =x.</h3><h3>Therefore, the speed of the Jet is 150 mph..</h3>
