Discussion
Ramesh sets his grandfather’s clock to the right time at 2.00 am on Thursday. But he didn’t know that the clock gains 20s for every 3 hours. What will the clock indicate on Friday night 6.30 pm?
Answer: D
The clock gains 20 seconds in every 3 hours, so first count the hours.
From Thursday 2:00 am to Friday 6:30 pm is
\[ 22 + 18.5 = 40.5 \text{ hours} \]
\[ \text{gain} = 20 \times \frac{40.5}{3} = 20 \times 13.5 = 270 \text{ s} = 4 \text{ min } 30 \text{ s} \]
The clock therefore reads ahead of the true 6:30 pm:
\[ 6{:}30{:}00 + 4{:}30 = 6{:}34{:}30 \text{ pm} \]
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