SOLUTION: <pre>Train 1 comes every 12 minutes. Train 2 comes every 10 minutes. Train 2 comes every 3 minutes, If they all arrived together at 4:00 what time will they all arrive toget

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: <pre>Train 1 comes every 12 minutes. Train 2 comes every 10 minutes. Train 2 comes every 3 minutes, If they all arrived together at 4:00 what time will they all arrive toget      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 897981: 
Train 1 comes every 12 minutes. 

Train 2 comes every 10 minutes. 

Train 2 comes every 3 minutes,

If they all arrived together at 4:00 what time will they 

all arrive together again? 

Answer by Edwin McCravy(20054) About Me  (Show Source): 

You can put this solution on YOUR website!
 
Train 1 comes every 12 minutes. 
Train 2 comes every 10 minutes. 
Train 2 comes every 3 minutes,
If they all arrived together at 4:00 what time will they 
all arrive together again?

The least common multiple of 12, 10 and 3 is 60 minutes.
So they will all arrive together 60 minutes later at 5:00.

Checking:

Train 1 comes at 

4:00, 4:12, 4:24, 4:36, 4:48, 5:00

Train 2 comes at

4:00, 4:10, 4:20, 4:30, 4:40, 4:50, 5:00

Train 3 comes at

4:00, 4:03, 4:06, 4:09, 4:12, 4:15, 4:18,
4:21, 4:24, 4:27, 4:30, 4:33, 4:36, 4:39,
4:42, 4:45, 4:48, 4:51, 4:54, 4:57, 5:00

Edwiin