SOLUTION: An executive flew in the corporate jet to a meeting in a city 1500 kilometers away. After traveling the same amount of time on the return flight, the pilot mentioned that they stil

Question 163480: An executive flew in the corporate jet to a meeting in a city 1500 kilometers away. After traveling the same amount of time on the return flight, the pilot mentioned that they still had 300 kilometers to go. If the air speed of the plane was 600 kilometers per hour, how fast was the wind blowing? (Assume that the wind direction was parallel to the flight path and constant all day).
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
An executive flew in the corporate jet to a meeting in a city 1500 kilometers
away. After traveling the same amount of time on the return flight, the pilot
mentioned that they still had 300 kilometers to go. If the air speed of the
plane was 600 kilometers per hour, how fast was the wind blowing?
(Assume that the wind direction was parallel to the flight path and constant all day).
:
Let w = speed of the wind
:
Then we know:
(600+w) = ground speed with the wind
(600-w) = speed against the wind
:
= time to fly the outbound trip
this time is equal to flying: 1500 - 300 = 1200 mi against the wind
:
Write a time equation:
=
Cross multiply:
1200(600+w) = 1500(600-w)
:
720000 + 1200w = 900000 - 1500w
:
1200w + 1500w = 900000 - 720000
:
2700w = 18000
w =
w = 66.67 km/hr is the wind speed
:
:
Check solution find out if the times are equal
1500/666.67 = 2.25 hrs
1200/533.33 = 2.25 hrs also, confirms our solution
:
Actually we can simply state the problem,
The plane flew 1500 with the wind in the same time it flew 1200 mi against the wind.

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