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Clock Problem

Expert replies
Source: — Problem Solving |

by shovan85 » Wed Nov 24, 2010 4:39 am
N:Dure wrote:I actually understand how 6 degrees come, but I don't how the answer is 5.5 and not 6
Time difference between 12:35 and 12:36 is 1 min.

In 60 minutes the minute hand moves 360 deg (one complete cycle of minute hand in an hour)

Thus,
In 1 minutes the minute hand moves 360/60 deg = 6 deg

Meanwhile, the hour hand is also moving. (Is not it?)

In 1 hr (60 min) the hour hand moves 360/12 = 30 deg (In 1 hr the hour hand moves from a digit to next digit [say from 12 to 1])

Thus,
In 1 minutes the hour hand moves 30/60 deg = 0.5 deg

Hence, the difference between them is 6.0 - 0.5 = 5.5 deg
If the problem is Easy Respect it, if the problem is tough Attack it
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