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How much does a watch gain or lose per day, if its hands coincide every 64 minutes?
55 min. spaces are covered in 60 min. 60 min. spaces are covered in (60/55 × 60) min = 65 5/11 min Loss in 64 min = (65 5/11 - 64) = 16/11 min Loss in 24 hrs= (16/11 × 1/64 × 24 × 60) min = 32 (8/11) min.
At what time between 7.02 and 8.02 will the hands of a watch be in the straight line but no together?
When the hands of the clock are in the same straight line but not together, they are 30 minute spaces apart. At 7 o'clock, they are 25 min. spaces apart. Minute hand must gain only 5 min. space 55 min. spaces are gained in 60 min. 5 min. spaces are gained in (60/55 × 5) min = 5 (5/11) min. Required time = 5 (5/11) min. past 7.
At what time between 3 & 4 will the hands of a watch point in opposite directions?
At 3 o'clock, the hands of the watch are 15 min. space apart. To be in opposite directions, they must be 30 min. spaces apart. Minute hand must gain 45 min. space (15 + 30 min) 55 min spaces are gained in 60 min. 45 min. spaces would be gained in (60/55 × 45) min. Required time = 49 1/11 min. past 3.
How many times do the hands of a clock coincide in a day?
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 overlap about every 65 minutes, not every 60 minutes. Therefore, The hands coincide 22 times in a day.
When the time in the clock is 7.20 pm, then the angle between the hands of the clock is
At 7 o’ clock, the hour hand is at 210 degrees from the vertical. In 20 minutes, Hour hand = 210 + 20 x (0.5) = 220 (The hour hand moves at 0.5 dpm) Minute hand = 20 x (6) = 120 (The minute hand moves at 6 dpm) Difference or angle between the hands = 220 - 120 = 100 degree
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