SOLUTION: If there is no wind and a plane flies at 900 km per hour and has to travel 1000 km. on a specific day there was wind and the plane travelled the 1000 km there and back in 2 hours 1

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Question 947684: If there is no wind and a plane flies at 900 km per hour and has to travel 1000 km. on a specific day there was wind and the plane travelled the 1000 km there and back in 2 hours 15 minutes, towards the 1000 km he flew at a speed of x km/ hour in the wind and back hew flew with the wind at x km/ hour. Determine what the wind speed is?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The plane did not go at x kilometers per hour going to and returning from the 1000 kilometer trip. The plane went with the wind one way and against the wind the other way. The rates for the two directions must be different.


_____________________rate___________time____________distance
GOING_______________900-w___________g________________1000
RETURN______________900+w___________b________________1000
TOTAL_____________________________2.25

w = unknown wind speed
g, time going to
b, time returning from
-
The problem description tells "with the wind" for the return trip, so the "against" the wind would be for the "going to " part of the trip.

The time variables can be easily handled through the basic idea for uniform travel rates, RT=D, dividing the two sides by R:
T=D/R.


_____________________rate___________time______________________distance
GOING_______________900-w___________1000/(900-w)________________1000
RETURN______________900+w___________1000/(900+w)________________1000
TOTAL________________________________2.25


The very obvious sum equation for time is formable.
highlight_green%281000%2F%28900-w%29%2B1000%2F%28900%2Bw%29=2%261%2F4%29
Solve this equation for w.