SOLUTION: a private airplane leaves an airport and flies due south at 192km/h. Two hours later a jet leaves the same airport and flies due south at 960km/h. When will the jet overtake the pl
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Question 277419: a private airplane leaves an airport and flies due south at 192km/h. Two hours later a jet leaves the same airport and flies due south at 960km/h. When will the jet overtake the plane? Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! a private airplane leaves an airport and flies due south at 192km/h. Two hours later a jet leaves the same airport and flies due south at 960km/h. When will the jet overtake the plane?
Let the distance at which they meet be x
In two hours the plane would have traveled 192*2 = 384 kms.
The time taken for plane to travel x-384 kms is the same as taken by jet when they meet.
time taken by plane = x- 384/192
The time taken by the jet = x/960
x-384/192 = x/960
960x -368640 = 192x
960x-192x= 368640
768x=368640
x= 480 kms. or 480/960 = 1/2 hour. The jet will overtake after half hour
