1. An analogue clock is gaining three minutes every hour. If you set it to the correct time at 6 p.m. on Saturday, when will it show the correct time again?

1. In each hour, the clock gains 3 minutes. 2. Let \( t \) be the number of hours after 6 p.m. on Saturday. In \( t \) hours, the total gain is \( 3t \) minutes. 3. An analogue clock repeats every 12 hours, and 12 hours equals \( 720 \) minutes. The clock will display the correct time again when the total gain is a multiple of 720 minutes. For the first occurrence, set: \[ 3t = 720 \] 4. Solve for \( t \): \[ t = \frac{720}{3} = 240 \text{ hours} \] 5. Convert 240 hours into days: \[ \frac{240}{24} = 10 \text{ days} \] 6. Starting from 6 p.m. on Saturday, 10 days later will be 6 p.m. on Tuesday. Thus, the clock will show the correct time again at 6 p.m. on Tuesday.