Question

A Time bomb beeps after every 60 second. another time bomb beeps after every 66 seconds. they beep together at 6:00 p.m.. what will be the time at which they will again beep together?​

Answer 1

Answer:

6:11 pm

2nd bomb will take 6 second extra than 1st bomb

so at 6:09pm 1st bomb will complete 9 beeps but 2nd has taken 54 seconds extra to complete the same beeps so next it requires 0nly 6 seconds

Answer 2

At 6:11 p.m they will beep together.

Step-by-step explanation:

Consider the provided information.

A Time bomb beeps after every 60 second. another time bomb beeps after every 66 seconds. they beep together at 6:00 p.m.

First find the LCM of both the numbers.

60 = 2×2×3×5

66 = 2×3×11

LCM is 2×2×3×5×11=660

That means after 660 seconds both bomb will beep together.

Convert 660 seconds into minutes.

$\frac{660}{60}=11$

Hence, after 11 minutes they will beep together.

Therefore, at 6:11 p.m they will beep together.

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