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InterviewSolution
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Find the angle between the minute hand and the hour hand of a clock when the time is 7:20. |
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Answer» At exactly 7:00 be our reference. Let's start our observation here - Start time and start position. Minute hand — 0 deg. Hour hand — 210 deg. By 7:20, the minute hand is 120 degs ahead from its start position - Minute hand — 0 + 120 degs In this duration, hour hand had moved some angle ahead, say x degs. Hour hand — 210 + x degs Then the angle between minute and hour hand becomes - (210 + x) - (0 + 120) = 90 + x So if we find x, we get the answer. x is the angle moved by hour hand in 20 mins. In 60 mins, hour hand moves by 30 degs, so in 20 mins it must move by 20*(30/60) = 10 degs. So x = 10 Therefore the required angle is 90 + 10 = 100 degs. This can be solved faster if we consider relative speed of min on the second hand hope this will help you like my answer and MARK IT AS BEST ANSWER |
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