Did the clock strike your head?

Logic Level 3

A clock strikes once at $1$ $\text{o'clock}$ , twice at $2$ $\text{o'clock}$ , thrice at $3$ $\text{o'clock}$ and so on.If it takes $10$ seconds to strike at $6$ $\text{o'clock}$ ,find the time taken by it to strike at $12$ $\text{o'clock}$ .

The answer is 22.

2 solutions

Nate Thönnesen
Oct 9, 2015

Since the first ring would happen immediately, the actual time of 10 seconds is covered by the following 5 rings. That means each ring after the first takes two seconds. So, after the first strike at 12, the next 11 would take 22 seconds.

Depends on the clock. My family's grandfather clock does not toll the first bell instantly on the hour. The mechanism can be heard engaging at the hour and the bell heard a few seconds afterwards.

Rob Johnson - 5 years, 8 months ago

An older, worn down clock might have some lag in it yes. But it is safe to assume that a clock is going to ding immediately upon the hour, and then follow it up with the remaining rings.

Nate Thönnesen - 5 years, 8 months ago

I didn't think about the first rings happening immediately. Good solution.

Sam Maltia - 5 years, 8 months ago

Yes that's the catch of this problem

Anik Mandal - 5 years, 8 months ago

The first ring starts immediately, I agree. But it definitely takes some time to sustain and die down, before the second ring starts. So how can you just neglect the time for the first ring?

Harish Sasikumar - 5 years, 8 months ago

The time after the first ring is considered the time for the second bell.The ring takes negligible time

Anik Mandal - 5 years, 8 months ago

Because it's a negligible amount of time, compared to the time between the start of two rings.

Nate Thönnesen - 5 years, 8 months ago

Ratul Pan
Nov 5, 2015

the first declares the starting of the time. So it is 5 rings in 10 secs. Thus 22 rings in (12-1) secs

Did the clock strike your head?

The answer is 22.

2 solutions

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