a) 6 PM, 25 days later
b) 12 noon, 30 days later
c) 12 noon, 15 days later
d) 6 AM, 45 days later
Answer: b
Explanation: First watch:
It shows correct time when it creates difference of 12 hours.
So, to create difference of 12 hour, time required = $$\frac{{60 \times 12}}{{24}}$$ = 30 days
Second watch:
It shows correct time when it creates difference of 12 hours.
So, to create difference of 12 hour, time required = $$\frac{{30 \times 12}}{{24}}$$ = 15 days
LCM of 30 and 15 gives the time when they show correct time together.
Required time = 30 days, at same time.
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