Aptitude - Clock - Discussion
Discussion Forum : Clock - General Questions (Q.No. 14)
14.
At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?
Answer: Option
Explanation:
At 4 o'clock, the hands of the watch are 20 min. spaces apart.
To be in opposite directions, they must be 30 min. spaces apart.
Minute hand will have to gain 50 min. spaces.
55 min. spaces are gained in 60 min.
| 50 min. spaces are gained in |  |
60 | x 50 |  min. or 54 |
6 | min. |
| 55 | 11 |
| Required time = 54 |
6 | min. past 4. |
| 11 |
Discussion:
55 comments Page 2 of 6.
Shivakarthik said:
1 decade ago
Its simple only so i think formula s no need for this ... if both the hands r in opposite direction or in the same straight line in 30 mins spaces ... v have 2 find out the time b\w 4 to 5 . at the time of 4 the spaces b\w the both hand s 20 min so 20=30=50 ...
60/55*50 =54*6/11min past4. hope u will understand?
60/55*50 =54*6/11min past4. hope u will understand?
Varun said:
1 decade ago
At 4 o clock the hands are 20 minute apart.
to be just at opposite i.e at 180 degree opposite. the minute hand must travel 20+30 minute = 50 minute i.e at around 4:50.
thus in 50 minute minute hand travels= 50*6 degree= 300 degree
thus time taken to travel this distance= 300/(11/2)= 600/2 minute
to be just at opposite i.e at 180 degree opposite. the minute hand must travel 20+30 minute = 50 minute i.e at around 4:50.
thus in 50 minute minute hand travels= 50*6 degree= 300 degree
thus time taken to travel this distance= 300/(11/2)= 600/2 minute
Rinju said:
7 years ago
The two hands of a clock will be opposite direction between H and ( H+1) O' clock at 60a/11 minutes past H' O clock.
Solve this problem by using this method,
'a' is opposite to H,
In this case, H is 4 and a is 10,
Then 60*10/11,
600/11= 54 6/11 past 4.
Solve this problem by using this method,
'a' is opposite to H,
In this case, H is 4 and a is 10,
Then 60*10/11,
600/11= 54 6/11 past 4.
V.k said:
1 decade ago
Hi guy its very easy.
First of all at. 4 o' clock there is 120' space apart HM hand.
And for opposite direction there must be 180' space apart so,
Total is 300 space apart and the relative speed is 5.5 and the distance to Cover is 300. So, 300/5.5.
First of all at. 4 o' clock there is 120' space apart HM hand.
And for opposite direction there must be 180' space apart so,
Total is 300 space apart and the relative speed is 5.5 and the distance to Cover is 300. So, 300/5.5.
Nitin said:
9 years ago
Use this formula that is Min=60/11 * (Hr+6)
If Hr 1 to 5 make addition
If Hr 6 to 12 make subtraction.
Like Q 4 to 5 clock in opposite directions case
Min = 60/11 * (4+6)
= 60/11 * 10
= 600/11
= 54 6/11. Min. Past.
If Hr 1 to 5 make addition
If Hr 6 to 12 make subtraction.
Like Q 4 to 5 clock in opposite directions case
Min = 60/11 * (4+6)
= 60/11 * 10
= 600/11
= 54 6/11. Min. Past.
Pratima said:
8 years ago
Between 4 and 5, the minute hand to move 20 min in right half of circle (watch) from the initial point that is 12 here.
And 30 minutes from 4 in another side to go in opposite direction. So total is 20+30=50.
And 30 minutes from 4 in another side to go in opposite direction. So total is 20+30=50.
Harsh said:
9 years ago
How its 55min?
Initially its 12:00am hour and min hand makes 0° after an hour i.e 1:00am hour hand travels 5 min and minute hand travels 60 min so difference between hour and min hand is 55 min.
Initially its 12:00am hour and min hand makes 0° after an hour i.e 1:00am hour hand travels 5 min and minute hand travels 60 min so difference between hour and min hand is 55 min.
Xyz said:
1 decade ago
@Neeraj
Because the minutes hand can move only in clock-wise direction. So 20 min to reach at the same place as the hour hand + 30 min reach in the opposite direction.
Because the minutes hand can move only in clock-wise direction. So 20 min to reach at the same place as the hour hand + 30 min reach in the opposite direction.
Kiranmai said:
1 decade ago
Hi frnds here this can be solve in another way also:
((5*hour)-30)(12/11) because it is straight line.
((5*4)-30)(12/11).
(-10)(12/11).
(50)(12/11).
54.(6/11).
((5*hour)-30)(12/11) because it is straight line.
((5*4)-30)(12/11).
(-10)(12/11).
(50)(12/11).
54.(6/11).
SACHIN PACHAURI said:
1 decade ago
Angle = 11min/2-30hour.
4 opposite direction angle is 180.
Between 4 and 5 o clock hour is 4.
You will get the min.(answer).
TRICK OF THIS TYPE OF QUESTION.
4 opposite direction angle is 180.
Between 4 and 5 o clock hour is 4.
You will get the min.(answer).
TRICK OF THIS TYPE OF QUESTION.
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