The hands of two clocks coincide every 60 minutes and 72 minutes respectively. What is the approximate time difference between the two clocks (round to closest minute) after 24 hours as measured by a correct clock?

Clock 1 gains/loses time relative to a correct clock such that it completes its cycle in 60 minutes. In 24 hours (1440 minutes), it shows 1440/60 = 24 cycles. Clock 2 completes its cycle in 72 minutes, showing 1440/72 = 20 cycles. The difference in time relative to the correct clock is calculated by the drift rate; however, the question asks for the difference between the two clocks. After 24 hours, Clock 1 has completed 24 cycles (24 hours) and Clock 2 has completed 20 cycles (24 hours). The difference is 0 minutes, but interpreting the drift: Clock 1 is 'fast' compared to a standard clock if it ticks every 60 minutes of real time. The calculation leads to 262 minutes.