If I had one clock that chimes every half hour and the other every 15-minutes and they both chimed together at 1. the next time they will chime to gether will be two oclock pm
Nope.
They'd chime together at 1:30.
Can you explain how to do this problem. Thanks
The clock that chimes every half hour chimes at 1:00, 1:30, 2:00, etc.
The clock that chimes every 15 minutes chimes at 1:00, 1:15, 1:30, 1:45, 2:00, etc.
30 minutes is 1/2 hour
15 minutes is 1/4 hour
To determine when the two clocks will chime together again, you need to find the least common multiple (LCM) of the intervals at which they chime.
One clock chimes every half hour, which means it chimes at 0:00, 0:30, 1:00, 1:30, 2:00, and so on.
The other clock chimes every 15 minutes, so it chimes at 0:00, 0:15, 0:30, 0:45, 1:00, 1:15, 1:30, and so on.
To find the LCM, you need to see when the two sequences of chimes align. Looking at the first few chimes:
- The first time they both chime together is at 1:00.
- The second time they both chime together is at 2:00.
Therefore, the clocks will chime together again at 2:00 PM.