SOLUTION: An airplane takes the same time to travel 2500 km with the wind as it does to travel 1900 km against the wind. If its speed relative to the air is 450 km/hr, what is the speed of t

Click here to see ALL problems on Travel Word Problems

Question 517045: An airplane takes the same time to travel 2500 km with the wind as it does to travel 1900 km against the wind. If its speed relative to the air is 450 km/hr, what is the speed of the wind?
Found 3 solutions by mananth, richwmiller, solver91311:
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website!
plane speed = 450 mph
wind speed = x mph

speed against wind 450 - x 14.07
speed with wind 450 + x

Distance against wind 1900 m
Distance with wind 2500 m

t=d/r time against = time with
1900/(450-x)=2500/(450+x )
1900(450 +x)=2500 (450-x)
855000 + 1900 x = 1125000 - 2500 x
2500 x 1900 x = 270000
4400 x = 270000
/ 4400
x = 61.36 mph wind speed

Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website!

Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!

Time equals distance divided by rate. With the wind, the wind speed adds, against the wind, the wind speed subtracts. Hence:

Solve for

John

My calculator said it, I believe it, that settles it