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

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
RELATED QUESTIONS
A private airplane leaves an airport and flies due south at 192 km/h. Two hours later a... (answered by ptaylor)

A private airplane leaves an airport and flies due south at 192 km/h. Two hours later a... (answered by mananth)

A private airplane leaves an airport and flies due south at 192 mph. Two hours later, a... (answered by mananth)

A private airplane leaves an airport and flies due south at 192 mph. Two hours later, a (answered by ewatrrr)

a private airplane leave an airport and flies due south at 192 km/h. 2 hours later a jet... (answered by jojo14344)

A private airplan leaves an airport and flies due south at 192 km/h. Two hours later a... (answered by Alan3354)

A private airplane leaves an airport and flies due east at 180 mph .two hours later/ a... (answered by fractalier)

A private airplane leaves an airport and flies due north at 96 km/hr. 2 hours later, a... (answered by josgarithmetic)

A private airplane leaves Midway Airport and flies due east at a speed of 180km/h. Two... (answered by Alan3354)