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Five bell begin to toll respectively …

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Five bell begin to toll respectively at intervals of 6,7,8,9 and 12 seconds. How many times they will toll together in one hour excluding the one at the start.

Posted by Tamanna Choudhary 6 years, 7 months ago

CBSE > Class 10 > Mathematics

1 answers

Rajan Kumar Pasi 6 years, 7 months ago

This is simple, NCERT book has a question like this but for 2 or 3 things.
But the logic behind these kinds of question is LCM.
Solution: LCM(6,7,8,9,12) = 504 seconds.
Now, In 1 hr (= 3600 sec) no. of time they will hit together is
{tex}\large \frac{3600}{504} \space\space\space\implies \frac{50\times72}{7 \times72}\space\space\space\implies \frac{50}{7}\space\space\space\implies 7\frac{1}{7} \sim\boxed7{/tex}

Thus, the answer is: {tex}\large\boxed{7 \space times\space in\space an\space hour}{/tex}

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