Hour and minute hands of a clock make 90 degree angle 44 times in a 24 hour period (or a day). Explanation:-Usually, 90 degree is formed twice every hour. However, there are two exceptions-> Between 2 and 4 o’clock: the hour hand (hh) and minute hand (mh) make 90 degree only once between 2 and 3 o’clock (at 2:27 3/11).
So the two hands overlap 11 times in a 12 hour period. So, in a 24 hour period, they would overlap 22 times. To answer the second part of the question, let's try to figure out the little bit of...
11 * t = 720 * h. For first hour we can replace h with 1 and we can solve the equation for first overlap after 12:00 o'clock. t = 720 /11 = 65,45 minutes. There is an other tricky conversion here the decimal part of the time. We need to convert it to seconds. 0,45 minutes = 45/100 minutes = 45*60/100 seconds= 27 seconds.
At first, it might be tempting to just say "24," but the correct answer is "22." This can be surmised because the clock hands approximately overlap at 12:00, 1:05, 2:10, 3:15, 4:20, 5:25, 6:30, 7:35, 8:40, 9:45 and 10:50 twice a day. You will notice that there is no 11:55 because the hands will not overlap at that point because the hour hand is moving toward 12 when the minute hand is at 11.
Every hour the hour and minute hand form a right angle twice. Therefore in 24 hours the hour and minute hands will form a right angle for 48 times.
44 right angles1440 / (32 8/11) = 44. So every 24 hours there are 44 right angles between minute hand and second hand.Aug 6, 2010
Total number of minutes in a day = 24 × 60 = 1440 minutes. Hence, the two hands will form right angle "44 times" in a day.
This implies that the first overlap happens after T = 12/11 hours (~1:05 am). Similarly, the second time they overlap, the minute hand would have completed two more laps than the hour hand. So for N overlaps, we have T = T/12 + N. Thus, the hands of a clock overlap 22 times a day.Feb 18, 2010
The hands in the clock are perpendicular 22 times in 12 and 44 times in one day. In an hour the minute hand gains 55 minutes over an hour hand. Thus, to calculate the number of minutes gained by the minute over an hour we have to multiply it by (60/55) or (12/11).
In an hour: Hour hand moves 30 degrees, Minute hand moves 360 degrees. Hope it's clear.
To be at right angles between 5.30 and 6, the minute hand has to gain (25+15)=40 min spaces. 55 min.
The hands coincide 22 times in a day.
11:00 p.m.Military Time / 24 Hour Time Conversion ChartRegular TimeMilitary Time8:00 p.m.2000 or 2000 hours9:00 p.m.2100 or 2100 hours10:00 p.m.2200 or 2200 hours11:00 p.m.2300 or 2300 hours20 more rows
That means the hands overlap 22 times a day.
Detailed Solution The hands of a clock meet once in every hour but between 11:00 and 1:00'o clock, they coincide only once. Therefore, the hands of a clock meet 11 times in 12 hours. Hence, '22' is the correct answer.
it completes 60min =1hr. So minute hand moves 24 times around clock in one day.Feb 4, 2018
This is a bit of an oddball question, but if you are asked it, then you should bring up these points.
Although reaching the wrong answer is fine to an extent, you should avoid these common errors.