Question

At what time between 4 and 5 O’clock, the hands of a clock coincide?

• A. 21 9/11 minutes past 4
• B. 20 8/11 minutes past 4
• C. 21 8/11 minutes past 4
• D. 21 minutes past 4

Hint:

For problems involving coinciding clock hands, use the formula \(\frac{60}{11} \times (H - 1)\) where \( H \) is the hour at which the coincidence occurs.

Answer 1

The Correct Option is A

The hands of a clock coincide at certain times between each hour. To find the time between 4 and 5 O'clock when the hands coincide, we use the formula: \[ \text{Time} = \frac{60}{11} \times (H - 1) \] where \( H \) is the hour at which the hands coincide. For \( H = 4 \): \[ \text{Time} = \frac{60}{11} \times 3 = 21 \, \frac{9}{11} \, \text{minutes past 4} \] Thus, the correct answer is \( 21 \, \frac{9}{11} \) minutes past 4. Therefore, the correct answer is (1) 21 9/11 minutes past 4.