At what time between 3 and 4 o’clock, the hands of a clock coincide?	Choose the correct choice from the following: A) 16 4⁄11 minutes past 3 B) 15 5⁄61 minutes past 3 C) 15 5⁄60 minutes to 2 D) 16 4⁄11 minutes to 4 E) None of these
Since, in one hour, two hands of a clock coincide only once, so, there will be value.   Required time T = 2⁄11(H × 30 + A°) minutes past H.   Here H = initial position of hour hand = 3(Since 3 o’clock)   16 4⁄11 minutes past 3° = required angle = 0°(Since it coincides)   T = 2⁄11(3 × 30 + 0) minutes past 3   = 164⁄11 minutes past 3   16 4⁄11 minutes past 3nswer 16 4⁄11 minutes past 3
<result>A</result>
At what time between 3 and 4 o’clock, the hands of a clock coincide?