SOLUTION: two train leave station P and Q, 110 km apart. train from P to Q travels at 25 km/hr and train from Q to P at 30 km/ hr. if they both start at 8 am, they will meet at?

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Question 865417: two train leave station P and Q, 110 km apart. train from P to Q travels at 25 km/hr and train from Q to P at 30 km/ hr. if they both start at 8 am, they will meet at?
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Let t = time taken

Let's call the first train Train A. Train A goes from P to Q. The other train will be train B. Train B goes from Q to P

Train A travels 25t kilometers while train B travels 30t kilometers both in the same timespan t. After t hours, they will have traveled 25t+30t = 55t km

This must add up to 110 km for them to both cover the entire 110 km distance and meet somewhere in between. So 55t = 110. Divide both sides by 2 to get t = 110/55 = 2

So it takes 2 hours til they meet up. So they meet up at 8+2 = 10 am