Trains A and B are traveling in the same direction on parallel tracks.?

Question

Train A is traveling at 100 mph and train B is traveling at 104 mph. Train A passes a station at 5:20am. If train B passes the same station at 5:50am., at what time will train B catch up to train A??

Answer 1

Wow. Ok. here's my logic.

Train A passes the station at 5:20 Right?

Train B passes the station at 5:50 right?

Since Train A has a 30 minutes lead, by 5:50, it will would have travelled 150 miles right?

As train B has just started at 5:50, it would only have travelled            

104 miles only.

So at 5:50 on the dot.. Train A - 150 miles

                                        Train B - 104 miles

Then an hour passes by..

It would have been 6:50.

Train A - 250 miles  ( add 100 every one hour )

Train B - 208 miles  ( add 104 every one hour )

Then a few more hours go by..       Like 11th hour

Train A - 1250 miles

Train B - 1248 miles

Just 2 more miles before Train B catches up...!

So, from here, we need to how far Train B travels in one MINUTE!!

60 minutes - 104 miles

1 minute - _______ ( do it urself )     104 divided by 60

Then after finding how many miles in one MINUTE.. u have to find how much more is needed before it actually meets the same number of miles..

In this case: I have

Train A - 1350 miles

Train B - 1352 miles.

Ahhh, u see, Train B is over by 2 miles.

but Train B only travels at 104mph... So thats where u find how many minutes it travels in 102 miles instead of 104.. Because u're always adding 104 every hour, but in this situation, we only need 102.. ( get it? )

Which means, u have to take 1 minute = ______miles

                                                    __ minute = 102 miles

So from there u will a time of 5:48 pm OR 5:49 pm

But i think 5:49pm is the correct one..

Is it correct?? Tell me by voting my answer as the best!! :)

Answer 2

6:20 pm.

Answer 3

6:20 PM

Train A started at the station at 5:20AM, and Train B was some distance away from the station at the same time. If it takes 0.5 hours (or 30 minutes) to get to the station, and Train B goes at a rate of 104 MPH, then at 5:20AM, Train B was 52 miles from the station. This is because 52 miles/104 miles=30 minutes/60 minutes.

In the 30 minutes that pass from 5:20AM to 5:50AM (when Train B meets the station), Train A travels 50 miles because 50 miles/100 miles=30 minutes/60 minutes. So, at 5:50AM, Train A is 50 miles ahead of Train B. So every 30 minutes, Train B closes up the distance between the two trains by 2 miles. This means that every hour, the distance between the trains decreases by 4 miles. 50 miles / 4 miles=12.5. So 12.5 hours from 5:50 AM is when the trains meet. 12 hours and 30 minutes+5:50AM=6:20PM. There you go.