SOLUTION: A plane leaves the Ligonier Airport and travels west at 230 knots. A second plane leaves 3 hr later and travels eats at 215 knots. How long has each plane been in the air when the
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Question 1008015: A plane leaves the Ligonier Airport and travels west at 230 knots. A second plane leaves 3 hr later and travels eats at 215 knots. How long has each plane been in the air when the two planes are 1135 nautical miles apart?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A plane leaves the Ligonier Airport and travels west at 230 knots.
A second plane leaves 3 hr later and travels east at 215 knots.
How long has each plane been in the air when the two planes are 1135 nautical miles apart?
:
Let t = air time of the 2nd plane
the 1st plane left 3 hrs earlier, therefore
(t+3) = air time of the 1st plane
:
Write a distance equation
215t + 230(t+3) = 1135
215t + 230t + 690 = 1135
445t = 1135 - 690
445t = 445
t = 445/445
t = 1 hr is the air time 2nd plane
then
4 hrs in the air the 1st plane
:
:
Confirm this by finding the actual dist each traveled
215(1) = 215 mi
230(4) = 920 mi
---------------
total dist 1135 mi
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