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At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together?

  1. 5 min. past 7
  2. $5\frac{2}{11}$ min. past 7
  3. $5 \frac{3}{11}$ min. past 7
  4. $5 \frac{5}{11}$ min. past 7

1 Answer

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At 7'o clock the minute hand and hour hand are separated by 25 min. distance. They come in staright line when this separation is 30 min. - so minute hand (it moves faster) needs to gain 5 min. distance.

The minute hand  gains 55 min. in 60 min. over the hour hand.

                    1 min.   gain       "   $\frac{60}{55}$ "

                     5  min. gain        "  $\frac{60}{55}\times 5$=$5\frac{5}{11}$ min

Ans.D) $5\frac{5}{11}$ min  past 7
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