Given:
Anna completes a lap in 120 minutes.
Aman completes a lap in 240 minutes
Tina completes a lap in 60 minutes.
To find:
The time after which they will meet again.
Solution:
They all started at the same time. So, the time after which they will meet again is the LCM of time taken by them to complete a lap.
Required time = LCM(120,240,60)
Factors of [tex]120 = 2\times 2\times 2\times 3\times 5[/tex]
Factors of [tex]240=2\times 2\times 2\times 2\times 3\times 5[/tex]
Factors of [tex]60=2\times 2\times 3\times 5[/tex]
So,
[tex]LCM(120,240,60)=2\times 2\times 2\times 2\times 3\times 5[/tex]
[tex]LCM(120,240,60)=240[/tex]
Therefore, after 240 minutes they will meet again.
