SOLUTION: it takes a train one hour longer to travel 240 km than it does for a small plane to travel the same distance. if the plane travels twice as fast as the train, how fast does the tra
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Question 1091730: it takes a train one hour longer to travel 240 km than it does for a small plane to travel the same distance. if the plane travels twice as fast as the train, how fast does the train travel? Answer by ikleyn(52767) (Show Source):
Let x be the train' speed, in km/h
Then the plane speed is 2x km per hour.
The train spends hours to cover the distance of 240 km.
The plane spends hours for the same trip.
The condition says that the difference in time is 1 hour:
- = 1.
Multiply bot sides by 2x. You will get
2*240 - 240 = 2x ====> 2x = 240 ====> x = = 120.
Thus you found the speed of the train. It is 120 km/h.
Then the speed of the plane is 2*120 = 240 km/h.
