I am having trouble with this motion problem.A jet travels 1,890 miles in 3 hours. flying against the same wind,the plane makes a return trip in 3 1/2 hours.Find the wind speed and the plane`s airspeed.My book gives the answer,but I just can not understand the concept of how they get the problem.Thanks for any help I can get.

Question

I am having trouble with this motion problem.A jet travels 1,890 miles in 3 hours.                               flying against the same wind,the plane makes a return trip in 3 1/2 hours.Find the wind speed and the plane`s airspeed.My book gives the answer,but I just can not understand the concept of how they get the problem.Thanks for any help I can get.

bobpursley · Answer

(V+W)3=1890 (V-W)3.5=1890 divide the top equation by 3, and the second equation by 3.5 V+W=630 V-W=540 add the equations 2V=1170 solve for V, W Take if from here.