SOLUTION: an airplane made a 2040-kilometer trip in the direction of the wind in 5 hours last tuesday. if the trip against the direction of the wind took an hour longer, find the rate of the
Algebra.Com
Question 150506: an airplane made a 2040-kilometer trip in the direction of the wind in 5 hours last tuesday. if the trip against the direction of the wind took an hour longer, find the rate of the plane in still air and the velocity of the wind.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
an airplane made a 2040-kilometer trip in the direction of the wind in 5 hours last tuesday. if the trip against the direction of the wind took an hour longer, find the rate of the plane in still air and the velocity of the wind.
--------------
Let "p" and "w" represent the plane speed and the wind speed.
--------------
With-wind DATA:
distance = 2040 km ; time = 5 hrs ; rate = 2040/5 = 408 kph
--------------
Against-wind DATA:
distance = 2040 km ; time = 6 hrs ; rate = 2040/6 = 340 kph
--------------
EQUATIONS:
p + w = 408
p - w = 340
-------------
Add to get:
2p = 748
p = 374 kph (speed of the plane in still air)
------------
Substitute into p+w = 408 to solve for w:
374 + w = 408
w = 34 kph (speed of the wind)
==================================
Cheers,
Stan H.
RELATED QUESTIONS
an airplane made a 2040km trip with the wind in 4 hours. The trip against the wind took... (answered by richwmiller)
An airplane travels 400 miles against the wind in 5 hours, and makes the return trip with (answered by stanbon)
An airplane can fly with the wind a distance of 600 miles in 5 hours. However, the return (answered by scott8148)
An airplane can fly with the wind a distance of 700 miles in 5 hours. However, the return (answered by richwmiller)
An airplane can fly with the wind a distance of 900 miles in 3 hours. However, the return (answered by mananth)
An airplane travels 600 miles against the wind in 3.5 hours and makes the return trip... (answered by josmiceli)
An airplane flew with the wind for 5 hours. The return trip against the wind took 6... (answered by drj)
An airplane flew with the wind for 5 hours. the return trip against the wind took 6... (answered by lwsshak3)
An airplane flew 4 hours with a 25 mph tail wind. The return trip against the same wind... (answered by josmiceli)