SOLUTION: Flying with the wind, a small plane flew 280 mi in 2 h. Against the wind, the plane could fly only 170 mi in the same amount of time. Find the rate of the plane in calm air and the

Question 868814: Flying with the wind, a small plane flew 280 mi in 2 h. Against the wind, the plane could fly only 170 mi in the same amount of time. Find the rate of the plane in calm air and the rate of the wind.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Plane speed =x mph
wind speed =y mph
against wind 2 hours
with wind 2 hours

Distance against 170 miles distance with 280 miles
t=d/r against wind -
170.00 / ( x - y )= 2.00
2.00 ( x - y ) = 2.00
2.00 x - 2.00 y = 170.00 ....................1

280.00 / ( x + y )= 2.00
2.00 ( x + y ) = 280.00
2.00 x + 2.00 y = 280.00 ...............2
Multiply (1) by 1.00
Multiply (2) by 1.00
we get
2.00 x + -2.00 y = 170.00
2.00 x + 2.00 y = 280.00
4.00 x = 450.00
/ 4.00
x = 112.50 mph

plug value of x in (1) y
2.00 x -2.00 y = 170.00
225.00 -2.00 -225.00 = 170.00
-2.00 y = 170.00
-2.00 y = -55.00 mph
y = 27.50
Plane speed 112.50 mph
wind speed 27.50 mph

m.ananth@hotmail.ca

RELATED QUESTIONS
Flying with the wind, a small plane flew 360 mi in 2 h. Against the wind, the plane could (answered by Alan3354)

Flying with the wind, a small plane flew 240 mi in 2 h. Against the wind, the plane could (answered by ikleyn)

Flying with the wind, a plane flew 1000 mi in 5 h. Flying against the wind, the plane... (answered by jorel1380)

flying with the wind, a small plane flew 660 mi in 3 h. Against thw wind, the plane flew... (answered by checkley77)

Flying with the wind, a plane flew 960 mi in 4 h. Against the wind, the plane required 6... (answered by Alan3354)

Flying with the wind, a plane flew 800 mi in 4 h. Against the wind, the plane required 8... (answered by Alan3354)

Flying with the wind, a plane flew 1500 mi in 5 h. Against the wind, the plane required 6 (answered by richwmiller)

Flying with the wind, a plane flew 960 mi in 3 h. Against the wind, the plane required 4... (answered by lwsshak3)

Flying with the wind, a plane flew 1200 mi in 5 h. Against the wind, the plane required 6 (answered by ikleyn)