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.
Aravind said:
1 decade ago
@xyz can you explain that 20+30 again?
Ranjit said:
1 decade ago
Assume that they are in opposite directions after x mins..
Then minute hand has traveled x mins...
The hour hand has traveled (x*5)/60 mins from the 4 o' clock position. To this add 20 min to give (x/12)+20 min as its displacement from 12 o' clock...
Now the difference between their positions is 30 mins..
So solve x-((x/12)+20)=30.
Then minute hand has traveled x mins...
The hour hand has traveled (x*5)/60 mins from the 4 o' clock position. To this add 20 min to give (x/12)+20 min as its displacement from 12 o' clock...
Now the difference between their positions is 30 mins..
So solve x-((x/12)+20)=30.
Tunu agrawal said:
1 decade ago
Minute hand will have to gain 50 min. Spaces. From where did it come?
I m unable to understand it.
I m unable to understand it.
Upendra said:
1 decade ago
It clearly shows that,
2 hands between 4 and 5'O clock means........
time is 4hours 54 mins
Now plz give explanation ..........
2 hands between 4 and 5'O clock means........
time is 4hours 54 mins
Now plz give explanation ..........
Pasumarthy said:
1 decade ago
@xyz, @abc let's say initially both are at 12, after 60 min hours is at 1 and minutes hand at 12. So, in 60 min they traveled 55 min spaces apart.
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
Bhojraj said:
1 decade ago
At what time between 5 'o' clock and 6 'o' clock, the hands of a clock will be 3 minutes apart.
Ajit said:
1 decade ago
Where the 55 min comes from ?
Suresh said:
1 decade ago
angle =11/2Min-30*Hours
so,180=11/2Min-30*4
180+120=11/2Min
min=300*2/11
Min=600/11
so,180=11/2Min-30*4
180+120=11/2Min
min=300*2/11
Min=600/11
Nithya said:
1 decade ago
Where the 55 minutes comes from?
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