train A arrives at central station on the hour and every 12 minutes. train B arrives on the hour and every 15 minutes. when do both train arrives at the same time.
27minutes past the hour
00, 12, 24, 36, 48, 60
00, 15, 30, 45, 60
72 min and 75 min (common multiple?)
72 = 12 * 6 = 3*3 *2*2*2
75 = 5*5*3
so we need 25 * 3 * 8 = 600 minutes = 10 hours
Oh, I misunderstood question I think.
On the hour
I move trains for a living.... The right answer is .... "The odds of both trains being on time everyday and having to deal with this issue is not realistic".... There fore the answer to the question is purely nonsense..... Because the question is nonsense... How many tracks are in the station? Are there conflicting moves if there is, and there is only 1 track there are so many variables in the real live world when it comes to a question like this I get irritated that this is a question asked to high school kids with no experience of how an actual rail road works...... If you have this question as home work I would happily talk to the teacher if u get it wrong..... I'm a rail traffic controller and your not I can see where they are trying to test your cognition......5 trains times the 12 minutes on the hour would be 60 and 4 trains times the 15 is also 60 so that's the answer they are looking for in my opinion...: so basically that where it would match up and so that is when they would be in the station at the same time but the question frustrates me because the odds of that happening is like 1 in 10 just saying if I knew this when I was asked a question like this by my teacher I would challenge them ✌️I'll stop ranting after this ... Sorry...but I wish I had more realistic questions/ 'acceptable answers' on tests when I grew up.... The purpose of school should be to stimulate the mind but also prepare one for life out side of memorizing things for a test .... Drops mic
To find out when both trains arrive at the same time, we need to find the least common multiple (LCM) of the arrival intervals of train A and train B.
The arrival interval for train A is 12 minutes, and for train B, it is 15 minutes. The LCM of 12 and 15 will give us the time at which both trains will arrive together.
To find the LCM, we can follow these steps:
Step 1: List the multiples of 12 and 15:
Multiples of 12: 12, 24, 36, 48, ...
Multiples of 15: 15, 30, 45, 60, ...
Step 2: Look for the smallest common multiple in the two lists. In this case, it is 60 minutes.
Therefore, both trains will arrive at the same time after 60 minutes (or 1 hour) from a specific starting point.
Remember that the relative starting point is essential. In this case, you mentioned that both trains arrive "on the hour." So, if we start counting from the next hour, both train A and train B will arrive together after 60 minutes.