A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at 12 noon. Ten minutes later, a train leaves Tokyo for Kyoto traveling 160 miles per hour. If Tokyo and Kyoto are 300 miles apart, at what time wil the trains pass each other?
I would love to know the approach you guys take to solving this. I approached it a little differently from the book. The source is MGMAT word problem translations book.
The bullet train will have travelled 240 x (10/60) miles after the first 10 minutes = 40 miles.
At 12:10 , the bullet train and the train are 260 miles apart (=300-40). To calculate when they will pass:
260 = 240*(60)*x + 160*(60)*x where x = the time it takes for them to reach one another in minutes
x = 39 minutes for the trains to pass each other AFTER 12:10.
Therefore the trains must have passed each other at 12:49