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Rohit has a watch that gains 5 seconds in 3 minutes. It was set right at 9 a.m. in the morning. In the afternoon of the same day, when the watch indicated 4 o'clock, how much time will the watch have gained?
Time from 9 a.m. to 4 p.m. = 7 hrs The clock gains 5 secs in 3 min In 60 min, it will gain, (60 x 5) / 3 = 100 sec i.e. the clock gains 100 seconds in one hour In 7 hours, it will gain 700 sec. 700/60 mins = (11)2/3 mins
At what angle are the hands of a clock inclined at 15 minutes past 4?
At 4 o’ clock, the hour hand is at 120° from the vertical. In 15 minutes, Hour hand = 120 + 15 x (0.5) = 120 + 7.5 = 127.5° (The hour hand moves at 0.5 dpm) Minute hand = 15 x (6) = 90° (The minute hand moves at 6 dpm) Difference or Angle between the hands = 127.5 – 90 = 37.5°
A correct clock shows 9 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 3 o'clock in the afternoon?
Hour hand traverses 30° per hour. For 6 hours, 6 x 30 = 180°
How many times are the hands of a clock at right angles in 24 hours?
In 12 hours, they are at right angles 22 times. In 24 hours, they are at right angles 44 times.
How many times do the hands of a clock coincide in 24 hours?
The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they coincide only once, i.e. at 12 o'clock). The hands coincide 22 times in a day.
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