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Two Trains

Age 14 to 16 Short
Challenge Level

A train started at Amityville and travelled at a constant velocity towards Brookville. At the same time, a train started at Brookville and travelled at a constant velocity towards Amityville.

After they met, the first train travelled for nine more hours before reaching Brookville, and the second train travelled for four more hours before reaching Amityville.

For how long did each train travel altogether?

This problem is taken from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.