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# At what time between 6 and 7 are the hands of a clock coincide.

 A) $$\Large 31\frac{8}{11}$$minutes past 6 B) $$\Large 32\frac{8}{11}$$minutes past 6 C) $$\Large 30\frac{8}{11}$$minutes past 6 D) 30 minutes past 6

 B) $$\Large 32\frac{8}{11}$$minutes past 6

In order to coincide the minute hand has to gain 30 minutes space. Now 55 minutes are gained by minute hand in 60 minutes.

30 minutes will be gained in = $$\Large \frac{60}{55} \times 30=\frac{36}{11}$$ = $$\Large 32\frac{8}{11}$$ minutes.

So the hands will coincide $$\Large 32\frac{8}{11}$$ minutes past 6.

Part of solved Clocks questions and answers : >> Elementary Mathematics >> Clocks

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