Question

10. A bell rings every 25 minutes while another bell rings every 40 minutes. If the bells rang together at 6 A.M., at what time would they next ring together?​

Answer 1

Answer:

9:20 A.M.

Step-by-step explanation:

Let's list out the points at which the 25-minute bell rings:

25 mins, 50 mins, 1 hour 15 mins, 1 hour 40 mins,  2 hours 5 mins, 2 hours 30 mins, 2 hours 55 mins, 3 hours 20 mins

Next let's list out the points at which the 40-minute bell rings:

40 mins, 1 hour 20 mins, 2 hours, 2 hours 40 mins, 3 hours 20 mins

From the lists above we see a common multiple of 3 hours and 20 minutes.

So, to find what time they ring after 6 A.M. add 3 hours and 20 minutes to it.

6 AM + 3 hours and 20 minutes = 9:20 A.M.

Thus, both bells would ring together again at 9:20 A.M.

Hope this helps!!