At what time after 4.00 p.m. is the minutes hand of a clock
exactly aligned with the hour hand?

Answers were Sorted based on User's Feedback



At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand?..

Answer / guest

4:21:49.5

Assume that X minutes after 4.00 PM minute hand exactly
aligns with and hour hand.

For every minute, minute hand travels 6 degrees.

Hence, for X minutes it will travel 6 * X degrees.

For every minute, hour hand travels 1/2 degrees.

Hence, for X minutes it will travel X/2 degrees.

At 4.00 PM, the angle between minute hand and hour hand is
120 degrees. Also, after X minutes, minute hand and hour
hand are exactly aligned. So the angle with respect to 12
i.e. Vertical Plane will be same. Therefore,

6 * X = 120 + X/2

12 * X = 240 + X

11 * X = 240

X = 21.8182

X = 21 minutes 49.5 seconds

Hence, at 4:21:49.5 minute hand is exactly aligned with the
hour hand.

Is This Answer Correct ?    137 Yes 8 No

At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand?..

Answer / harsh

4 :21:49.5

Is This Answer Correct ?    12 Yes 1 No

At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand?..

Answer / akash pandey

We know that minute hand cover 55 minute unit over hour hand in 1 hour.
And at 4 p.m minute hand is 20 minute unit back to hour hand hence it have to covers 20 minute unit then-
55 minute unit covers in = 60 min
then 20 minute unit covers in = (60/55)*20
= 21.8 min
= 21 min 48 sec

=> Therefore at 4 hr:21 min:48 sec pm both hands are overlapped.

Is This Answer Correct ?    5 Yes 7 No

At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand?..

Answer / ruthra

4:20

Is This Answer Correct ?    2 Yes 8 No

At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand?..

Answer / vasudha

4.22pm

Is This Answer Correct ?    3 Yes 12 No

At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand?..

Answer / ruthra

4:20

Is This Answer Correct ?    1 Yes 10 No

At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand?..

Answer / manojbatra071

around 4:20 pm

Is This Answer Correct ?    3 Yes 15 No

At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand?..

Answer / mak123

It will be aligned at
4.20
5.25
6.30
7.35
8.40
9.45
10.50
11.55
12.00

Is This Answer Correct ?    6 Yes 24 No

At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand?..

Answer / arpit alekar

at 12 am

Is This Answer Correct ?    2 Yes 21 No

At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand?..

Answer / student

12:00

Is This Answer Correct ?    4 Yes 26 No

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