A logic problem by Javed Siddiqui

Logic Level 1

How many times do the hands of a clock overlap in 24 hours? tell of a minute hand just.

6 times 12 times 24 times

Javed Siddiqui by Javed Siddiqui , 23, Pakistan

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1 solution

Prince Loomba
Sep 2, 2016

In each hour, the clocks are overlapping once. 24 hours, 24 times.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

not really:: in one hour the minute hand move one rotation.

the hour hand moved 1/12 rotation, the relative speed is 1+1/12 rotation per hour = 13/12

in 24 hrs there are 24 / (13/12) = 22.15

22 overlaps only in the 24 hrs.

Ahmed Almubarak - 3 years, 2 months ago

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What does "tell of a minute hand just" mean? I know the answer will be 22 normally since the overlapping time is 65.5 minutes i suppose

Prince Loomba - 3 years, 2 months ago

Intuitive way to come to this conclusion: the hands only overlap once for 12 and 1 o'clock (both of them together) and a single time for all the others. Since 1 o'clock happens twice in 24 hours, it will be 22 overlaps.

Ussar Niaem - 1 year, 11 months ago

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