Question

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10, and 12 seconds, respectively. In 30 minutes, how many times do they toll together?

(a) 10
(b) 15
(c) 20
(d) 25

Answer 1

To find the number of times the bells toll together in 30 minutes, find the least common multiple (LCM) of the intervals. The LCM is 120 seconds or 2 minutes.

Therefore, the bells will toll together 15 times in 30 minutes.

The correct answer is: (b) 15

Step-by-step explanation:

To find the number of times the bells toll together in 30 minutes, we need to find the least common multiple (LCM) of the intervals at which they toll. The intervals are 2, 4, 6, 8, 10, and 12 seconds. First, convert all the intervals to seconds. The LCM of these intervals is 120 seconds, which is equivalent to 2 minutes.

So, in 30 minutes, the bells will toll together 15 times.

To find how many times the bells toll together in 30 minutes, we need to find the time at which they all toll together. The time it takes for all of them to toll together is the least common multiple (LCM) of their intervals.

The intervals are 2, 4, 6, 8, 10, and 12 seconds.