Answer: 120 minutes or 2 hours
Step-by-step explanation:
Given : All three trains just arrived at the station.
The time taken by each train to arrive :-
Key. red train 8 min.
Blue train 10 min.
Yellow train 12 minutes
To find the minimum time at which it will take all of them to arrive at the same time, we need to find the least common multiple(LCM) of 8 , 10 and 12.
Prime factorization:-
[tex]8=2\times2\times2\\\\10=2\times5\\\\12=2\times2\times3[/tex]
LCM( 8 , 10 ,12)=[tex]2\times2\times2\times5\times3=120[/tex]
Hence, it will take 120 minutes or 2 hours to all of them to arrive at the same time.
