SOLUTION: A plane took 4 h to fly 2200 km from saskatoon to toronto with a tail wind. Thereturn trip, with a head wind, took 5 h. Find the speed of the plane in still air and the wind speed.

Question 350975: A plane took 4 h to fly 2200 km from saskatoon to toronto with a tail wind. Thereturn trip, with a head wind, took 5 h. Find the speed of the plane in still air and the wind speed.
Answer by dabanfield@earthlink.net(8) (Show Source): You can put this solution on YOUR website!
A plane took 4 h to fly 2200 km from saskatoon to toronto with a tail wind. Thereturn trip, with a head wind, took 5 h. Find the speed of the plane in still air and the wind speed.
Let w be the wind speed and s be the speed of the plane in still air.
Using the formula distance = rate*time, for the trip with the wind we have:
2200 = (s+w)* 4 or
1.) 2200 = 4*s + 4*w
For the trip against the wind we have:
2200 = (s-w) *5 or
2.) 2200 = 5*s - 5*w
Multiplyng 1.) by 5 and 2.) by 4 we have:
3.) 11000 = 20*s + 20w
4.) 8800 = 20*s - 20*w
Adding the respective sides of 3 and 4 we have:
19800 = 40*s
s = 495
Substitute 495 for s in either 1.) or 2.) above and solve for w.

RELATED QUESTIONS
a plane took 4 h to fly 2200 km from saskatoon to toronto with a tail wind.The return... (answered by ankor@dixie-net.com)

13. Flying speed A plane took 4 h to fly 2200 km from Saskatoon to Toronto with a tail (answered by lwsshak3)

Solve Problems Using Linear Systems 13. A plane took 4h to fly 2200 km from Saskatoon to (answered by checkley77)

With a head wind, a plane traveled 1000 mi in 4 h. With the same wind as a tail wind, the (answered by checkley75)

With a head wind, a plane traveled 1000 mi in 4 h. Withe the same wind as a tail wind,... (answered by solver91311)

An airplane took 2 hours to fly 600 km against a head wind. The return trip with the... (answered by Paul)

An airplane took 2 hours to fly 600 km against a head wind. The retrun trip with the... (answered by jonvaliente)

An airplane took 2 hours to fly 600 km against a head wind. The return trip with the wind (answered by Alan3354)

A cyclist rode 3 hours with a tail wind of 6 km/h. The return trip againt the head wind... (answered by Paul)