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A clock is set to ring every 15 minutes whereas another clock is set to ring every 25
minutes. If both the clocks ring together at 4:00 p.m., find the time at which both
clocks will subsequently ring together again.​


Sagot :

Answer:

At 5:15 PM , they will ring together.

Step-by-step explanation:

We have been given that first bell rings every 15 minutes and second bell rings at every 25 minutes.

In order to find when both will ring together again, we can find the LCM of these two numbers.

15 = 3 × 5

25 = 5 × 5

Therefore, LCM of these two numbers is

LCM = 5 × 5× 3

LCM = 75

Hence, 75 minutes = 75/60 = 5/4 hours

Therefore, at 5:15 PM , they will ring together.