SOLUTION: If a plane travels 500miles per hour with wind and 400mile per hour against the wind, find the speed of the plane is stil air?

Question 314574: If a plane travels 500miles per hour with wind and 400mile per hour against the wind, find the speed of the plane is stil air?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let

represent the speed of the plane in still air. Let

represent the speed of the wind.

The overall speed when the wind and the airplane are going in the same direction is the speed in still air PLUS the speed of the wind, which is to say:

By similar logic, when the airplane is flying into the wind, the overall speed is the speed in still air MINUS the speed of the wind, which is to say:

Add the two equations:

Which is then the speed in still air. I still don't know what the speed in stil [sic] air is. No, there is no Santa Claus and spelling DOES count, even when doing mathematics.

John

RELATED QUESTIONS
If a plane can travel 500 miles per hour with the wind and 440 miles per hour against the (answered by ramkikk66)

If a plane can travel 500 miles per hour with the wind and 440 miles per hour against the (answered by Alan3354)

if a plane can travel 510 miles per hour with the wind and 410 miles per hour against the (answered by lwsshak3)

If a plane can travel 470 miles per hour with the wind and 430 miles per hour against the (answered by ewatrrr)

If a plane can travel 490 miles per hour with the wind and 410 miles per hour against the (answered by mananth)

If a plane can travel 380 miles per hour with the wind and only 280 miles per hour... (answered by Maths68)

If a plane can travel 500 miles per hour with the wind and 400 miles per hour against the (answered by ikleyn)

If a train can travel 480 miles per hour with the wind at 420 miles per hour against the... (answered by Alan3354)

If a plane can travel 480 miles per hour with the wind and 440 mph against the wind, find (answered by Alan3354)