The Gong

Suppose a clock takes 7 seconds to strike 7. How long does it take for the same clock to strike 10?

Answer

It will take 10.5 seconds for the clock to strike 10.

While striking 7, the clock strikes the first gong at 7 o’clock and it strikes 6 more at regular intervals. These 6 intervals take 7 seconds, so the interval between gongs is 76 seconds.

However to strike 10, there are 9 intervals each taking 76 seconds. This adds up to a total of (9 x 76) 10.5 seconds.

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