Question

Amanda has two clocks. One clock is set to chime every 15 minutes. The other clock is set to chime every 9 minutes.

They are both chiming at the same time right now. How long will it be until they chime at the same time again?

Answer 1

The clocks will chime together again in 45 minutes, as the Least Common Multiple of 15 and 9 minutes is 45 minutes.

Step-by-step explanation:

The subject of this question is Mathematics, specifically it involves finding the Least Common Multiple (LCM) of two time intervals.

To determine when two clocks will chime together again, we need to calculate the LCM of their chime intervals: 15 minutes for the first clock and 9 minutes for the second clock.

The LCM of 15 and 9 is the smallest number that both 15 and 9 can divide into without leaving a remainder.

You can list the multiples of each number until you find a common multiple, or use the prime factorization method:

• 15 = 3 × 5
• 9 = 3 × 3 (or 3^2)

The LCM is 3^2 × 5 = 9 × 5 = 45.

Therefore, the two clocks will chime together again in 45 minutes.