Multiple choice

At what time are the hands of a clock together between 6 and 7?

  1. 7 : 32 8/ 11

  2. 6 : 33 8 /11

  3. 6 : 32 8 /11

  4. 7 : 33 8 /11

  5. None of These
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

At 6 o'clock, the hands are 30 minutes apart. The minute hand gains 5.5 degrees per minute relative to the hour hand. To overlap, the minute hand must cover 30 minutes distance. Time = 30 / (11/60) = 1800/11 = 163.63 minutes? No, the formula is T = (2/11) * (30*H + M). For H=6, M=0, T = (2/11) * 180 = 360/11 = 32 and 8/11 minutes past 6.

AI explanation

To find when the hands coincide between 6 and 7, use the formula for coincidence: Minutes = 60 times H divided by 11, where H is the starting hour. Substituting 6 for H gives 60 times 6 divided by 11, resulting in 360 divided by 11. This simplifies to 32 and 8 over 11 minutes past the hour. The hands are together at 6:32 and 8 over 11 minutes.

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