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Question

At what time between 4 and 5 O'clock will the minute hand and the hour hand coincide with each other?

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Solution

When the two hands coincide with each other the angle between them is 0o.
θ=112m30h. Here θ=0o,h=4112m=30h
11m=60hm=60h11
m=60×411=24011=21911 min past 4.
The two hands of the clock coincide at 4 hours 21911min.

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