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Two clocks are set right at $10$ a.m. One gains $20$ seconds and the other loses $40$ seconds in $24$ hours. What will be the true time when the first clock indicates $4$ p.m. on the following day?
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Is the answer 3:59:35 pm ?
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for clock 1: gain per hour =20/24=5/6

for clock 2 : loss per hour = 40/24=10/6

so for six hours difference=10/6 *6 + 5/6 * 6=15 seconds

so when clock 1 is at 4 pm clock 2 will be at 3:59:45

 

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