A and B are two stations 390 km apart. Atrain starts from A at 10 am a

1.	A and B are two stations 390 km apart. Atrain starts from A at 10 am and travelstowards B at 65 kmph. Another trainstarts from B at 11 am and travels towardsA at 35 kmph. At what time do theymeet?
Answer» The main thing to remember is our basic idea that distance = rate x time. If we think about it, no matter how far each train travels, when they meet, they will have together travelled 390k. If we let x = the time travelled by train A, then train B travels x - 1 hours, because it left one hour later. Train A's distance is then 65x and train B's is 35(x - 1) = 35x - 35. Together, the trains travel the 390k 65x + 35x - 35 = 390 100x - 35 = 390 100x = 425 x = 4.25 = 4 hours and 15 minutes So, the two trains meet at 2:15.

A and B are two stations 390 km apart. Atrain starts from A at 10 am and travelstowards B at 65 kmph. Another trainstarts from B at 11 am and travels towardsA at 35 kmph. At what time do theymeet?

Answer»

The main thing to remember is our basic idea that distance = rate x time.

If we think about it, no matter how far each train travels, when they meet, they will have together travelled 390k.

If we let x = the time travelled by train A, then train B travels x - 1 hours, because it left one hour later.

Train A's distance is then 65x and train B's is 35(x - 1) = 35x - 35.

Together, the trains travel the 390k

65x + 35x - 35 = 390

100x - 35 = 390

100x = 425

x = 4.25 = 4 hours and 15 minutes

So, the two trains meet at 2:15.