SOLUTION: A fighter plane and a helicopter set off from airbase A at the same time. The helicopter travels on a bearing of 152 degrees and the fight plane travels on a bearing of 242 degrees
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Question 528206: A fighter plane and a helicopter set off from airbase A at the same time. The helicopter travels on a bearing of 152 degrees and the fight plane travels on a bearing of 242 degrees at three times the speed. They arrive at bases B and C respectively after 2 hours. If B and C are 1200 km apart, find the average speed of the helicopter ? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A fighter plane and a helicopter set off from airbase A at the same time.
The helicopter travels on a bearing of 152 degrees and the fight plane travels on a bearing of 242 degrees at three times the speed.
They arrive at bases B and C respectively after 2 hours.
If B and C are 1200 km apart, find the average speed of the helicopter ?
:
Let s = speed of the helicopter
then 2s = distance traveled by the helicopter
:
Let 3s = speed of the fighter
then 6s = distance traveled by the fighter
;
Conveniently: 242 - 152 = 90 degrees, a right triangle problem with the hypotenuse = 1200
:
(2s)^2 + (6s)^2 = 1200^2
4s^2 + 36s^2 = 1440000
40s^2 = 1440000
Divide both sides by 40
s^2 = 36000
s =
s = 189.7 mph is the helo speed
