Question 1

An alarm was set at 11 AM on Monday on a clock that was set correctly at 1 AM on Sunday, but the clock started gaining 20 seconds every 24 hours. What was the actual time when the alarm went off?

Solution

Total time between sunday at 1 AM to monday at 11 AM =24hours + 10hours = 34 hours

Now total gain in seconds in 34 hours = $$\frac{20}{24}$$×34= $$\frac{85}{3}$$

The actual time at which alarm went off is

=10:59:(60-$$\frac{85}{3}$$)

=10:59:$$\frac{95}{3}$$

=10:59:32

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