Latest self Aptitude Question SOLUTION: At what time between 4 and 5 o'clock do the hands of a clock coincide?

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(#M40023917) SELF question Clock Keep an EYE

At what time between 4 and 5 o'clock do the hands of a clock coincide?

durgesh jha (10 years ago)

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rohan chawla  (10 years ago)

answer is 4 hrs and 240/11 min
i.e. 4hrs and 21.82 min or 4 hrs 21 min and 49 sec

we know minute hand of a clock covers 360 degrees in 60 min or 6 deg in 1 min
and hour hand of a clock covers 360 deg in 12 hrs or 30 deg in i hour or .5 deg in 1 min
so at 4:00 min hand has covered 0 degrees and hour hand has covered 120 degrees
now let time after which these two coincide be x min
so hour hand covers 120+x/2 upto that time
and minute hand covers 6x degrees upto that time
when they coincide the angles shud be same
so 120+x/2 = 6x
solving we get x = 240/11 min

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Devendra Marghade  (10 years ago)

4:22 hrs.

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parminder maan  (10 years ago)

to coincide minute hand have to gain 20 min
as 55 mins are gained in 60
similarly 20 min are gained in 60/55*20
240/11

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aditya  (10 years ago)

4:22 corrct

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