Question

There are three bosses in a computer game. Boss A appearsevery 1 hour. Boss B appears every 30 minutes. Boss Cappears every 40 minutes. If the three bosses appear togetherat 10:10, at what time will the three bosses appear togetheragain in the game?

Answer 1

For this question we will compute the LCM of 60 min, 30min, and 40 min:

$\begin{gathered} 60=5\cdot3\cdot2^2, \\ 30=5\cdot3\cdot2, \\ 40=5\cdot2^3\text{.} \end{gathered}$

Then the LCM is:

$5\cdot3\cdot2^3=120.$

Then, the three bosses appear together again after 120min=2hours.

Answer: 12:10.