At what time (in minutes) between 3 o'clock a | vedclass

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Question

(A) At $3$ o'clock,the minute hand is $15$ minute spaces behind the hour hand.To coincide,the minute hand must gain these $15$ minute spaces over the

Vedclass · Accepted Answer

$16 \frac{4}{11} 	ext{ minutes}$

Vedclass · Answer

(A) At $3$ o'clock,the minute hand is $15$ minute spaces behind the hour hand.To coincide,the minute hand must gain these $15$ minute spaces over the hour hand.We know that the minute hand gains $55$ minute spaces in $60$ minutes.Therefore,the time taken to gain $15$ minute spaces is given by:$	ext{Time} = \frac{60}{55} 	imes 15 = \frac{12}{11} 	imes 15 = \frac{180}{11} = 16 \frac{4}{11} 	ext{ minutes}$.Thus,the hands will coincide at $16 \frac{4}{11}$ minutes past $3$ o'clock.

At what time (in $minutes$) between $3$ o'clock and $4$ o'clock,will both the needles of a clock coincide with each other?

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