With a certain tail wind a jet aircraft arrives at its destination, 1,890 miles away, in 3 hours. Flying against the same wind, the plane makes the return trip in 3 3/8 hours. Find the wind speed and the plane's airspeed.

{wind speed is a0 mph, airspeed is a1 mph}

Question

With a certain tail wind a jet aircraft arrives at its destination, 1,890 miles away, in 3 hours. Flying against the same wind, the plane makes the return trip in 3 3/8 hours. Find the wind speed and the plane's airspeed.

{wind speed is a0 mph, airspeed is a1 mph}

anonymous · Answer

put the airspeed as $a_1$ and the wind speed as $a_0$ then the speed going is 
$$a_1+a_0$$ and the speed returning is $a_1-a_0$

anonymous · Answer

since distance is rate time time, you have 
$$1890=3(a_1+a_0)$$ and also 
$$1890=3.85(a_1-a_0)$$ solve the two equations in two unknowns