SOLUTION: It takes an airplane 1.5 hours to fly 600 km against the wind. The return trip with the wind takes only 1 hour. Find the total flying time for the round trip if there was no wind

Question 366321: It takes an airplane 1.5 hours to fly 600 km against the wind. The return trip with the wind takes only 1 hour. Find the total flying time for the round trip if there was no wind
Found 2 solutions by mananth, josmiceli:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
speed in still air = x mph
speed of wind = y mph

600/(x-y)= 1.5
1.5x-1.5y=600
/1.5
x-y=400....................1
600/(x+y)= 1
600 = x+y...................2
add 1 & 2
2x=1000
/2
x= 500 --------- speed in still air.
Total distance = 1200 miles
speed = 500 mph
time when no wind = 1200/500
=2.4 hours
...
m.ananth@hotmail.ca
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the plane with no wind
Let = the speed of the wind
Against the wind:

With the wind:

given:
km
hrs
hr
---------------------

and

(1)

(2)
Multiply both sides of (2) by and
add (1) and (2)
(2)
(1)

The plane's speed with no wind is 500 km/hr.
The problem wants to know how long it takes to go
1200 km at that speed

hrs
It takes 2 hrs and 24 min

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