13. [6.05] An airplane flew 3.5 hours with a 60 mph head wind. The return trip with a tail wind of the same speed took 2.5 hours. Find the speed of the plane in still air.

Question

13.   [6.05] An airplane flew 3.5 hours with a 60 mph head wind. The return trip with a tail wind of the same speed took 2.5 hours. Find the speed of the plane in still air.

anonymous · Answer

Answer = 360 mph
How to solve coming up.

anonymous · Answer

okay so if they both traveled the same distance you can make them equal to each other. 

d=d
so then lets just use "s" for speed, and on the going trip it took 3.5 hours so...

it is the total speed times the time it took which gives you the speed. so..

$$3.5(s-60)=2.5(s+6)$$

now just distribute and solve for s, and you have the speed.