At 3 o'clock, the minute hand is 15 min. spaces apart from the hour hand.
To be coincident, it must gain 15 min. spaces.
55 min. are gained in 60 min.
Then 15 min spaces are gained in = min.
Therefore, The hands are coincident at min. past 3 o'clock.
We know that the time difference between India and USA is 9 hrs 30 min.
India is 9:30 hrs ahead of USA.
Time in India = 4:15 + 9:30 = 13:45 PM.
Required Time after 18 hrs = 13:45 + 18 hrs = 7:45 AM.
Hence it is 7:45 AM on the next morning.
Angle traced by hour hand in hrs = =
Angle traced by min. hand in 20 min = =
Required angle = (130 - 120)º = 10º
Angle traced by hour hand in 12 hrs = 360º
Angle traced by hour hand in 5 hrs 10 min. i.e hrs = =
The hands of a clock point in opposite directions (in the same straight line) 11 times in every
12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clcok only).
So, in a day, the hands point in the opposite directions 22 times
Time from 12 p.m. on Tuesday to 2 p.m. on the following Tuesday = 7 days 2 hours.
= 170 hours.
The watch gains = (2 + 4 x 4/5) min
= 34/5 min. in 170 hrs.
Now, 34/5 min are gained in 170 hrs.
Then, 2 min are gained in (170 x 5/34 x 2) hrs.
Watch is correct after 2 days 2 hrs after 12 p.m. on Tuesday, i.e., it will be correct at 2 p.m. on Thursday.
Comments
There are no comments.Copyright ©CuriousTab. All rights reserved.