A plane travels 1000 miles in 2 hours with a tailwind. The return trip takes 2.5 hours with a headwind. Let p be the rate of the plane in still air in miles per hour and let w be the rate of the wind in miles per hour. Determine the two equations of the system described here.

Solve the system by the method of substitution. Interpret the solution.

Question

A plane travels 1000 miles in 2 hours with a tailwind. The return trip takes 2.5 hours with a headwind. Let p be the rate of the plane in still air in miles per hour and let w be the rate of the wind in miles per hour. Determine the two equations of the system described here. 
 
 Solve the system by the method of substitution. Interpret the solution.

Quizplus · Accepted Answer

The Answer of A plane travels 1000 miles in 2 hours with a tailwind. The return trip takes 2.5 hours with a headwind. Let p be the rate of the plane in still air in miles per hour and let w be the rate of the wind in miles per hour. Determine the two equations of the system described here. 
 
 Solve the system by the method of substitution. Interpret the solution.

A Plane Travels 1000 Miles in 2 Hours with a Tailwind