SOLUTION: "How far can an airplane fly from its base, and yet return within 3 hours, if its outgoing speed is 600 kilometers per hour and its returning speed is 400 kilometers per hour?" Can
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Question 1031906: "How far can an airplane fly from its base, and yet return within 3 hours, if its outgoing speed is 600 kilometers per hour and its returning speed is 400 kilometers per hour?" Can you help me with this?? Thanks in advance! Found 2 solutions by addingup, josmiceli:Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website! Convert to minutes:
3*60 = 180 minutes
and 600/400 = 1.5 It takes 1.5 times longer coming back
x+1.5x= 180
2.5x = 180
x = 72 minutes is the fast speed
and
72*1.5 = 108 is the fast speed
72+108=180 minutes and 180/60 = 3 hours of flight total.
You can put this solution on YOUR website! Let = the distance in km the plane
can fly from its base
Let = the time of travel for
the trip from the base
--------------------------------
Traveling from the base:
(1)
Traveling back to base
(2)
-----------------------
Set (1) = (2)
and
(1)
(1)
(1)
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The plane can fly as far as 720 km
-----------------------------
check:
(2)
(2)
(2)
(2)
OK
