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An ordinary Clock becomes 16 minutes fast every day. If it is set right at 9:00 in the morning, then what time will it show at 6:00 in the evening on the same day?

Solution

✅ Correct Option: 1

The clock gains 16 minutes in 24 hours.

From 9:00 AM to 6:00 PM, the actual time elapsed is 9 hours.


The gain in 9 hours can be found using proportion:

Gain =16 minutes24 hours×9 hours= \dfrac{16 \text{ minutes}}{24 \text{ hours}} \times 9 \text{ hours}

Gain =16×924= \dfrac{16 \times 9}{24}

Gain =14424= \dfrac{144}{24}

Gain =6= 6 minutes


At actual 6:00 PM, the faulty clock will show:

Time shown =6:00= 6:00 PM +6+ 6 minutes

Time shown =6:06= 6:06 PM

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