Two clocks are set right at 2:20 pm on Friday. The first clock gains 3 minutes per hour, whereas the second clock loses one third as much as the first one gains per hour. What is the difference between the timings shown by the two clocks at 9:00 am the next day?

From 2:20 p.m. on Friday to 9:00 a.m. on Saturday, the elapsed real time is 18 hours and 40 minutes, which is 56/3 hours. The first clock gains 3 minutes per hour, so over this duration it advances by 3 times 56/3, resulting in a gain of 56 minutes. The second clock loses one third of this rate, meaning it loses 1 minute per hour, which totals a loss of 56/3 minutes over the same period. The total difference between the timings shown by the two clocks is the sum of the gain and the loss, calculated as 56 + 56/3 = 224/3 minutes.

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