Question

at what time between 4 and 5 O'clock will the hands of a clock coincide?​

Answer 1

21.82 min

hope this will help you

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Answer 2

At what time does the hour hand meet the minute hands between 4 and 5 o'clock?

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Originally Answered: At what time between 4 and 5 o’clock are the hands coincide?

At what time between 4 and 5 o’clock are the hands coincide?

I have answered similar question before, so just copying from there.

Let me first share a formula with you,

θ=30H−112M

This gives the angle between hour and minute hands of the clock at the given hour H and given minutes M.

Now, according to question, time has to be like 4:__ and angle is 0∘, since hands are in same direction. So, we need to calculate only minutes.

Using formula and data,

H=4,θ=0∘

0=30∗4−112∗M

M = 21.82 min = 21 min 49.2 sec