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# Find at what time between 7 and 8 o'clock will the hands of a clock will be the same straight line but not together

 A) 30 minutes past 7 B) 5 minutes past 7 C) $$\Large 5\frac{5}{11}$$ minutes past 7 D) 6 minutes past 7

 C) $$\Large 5\frac{5}{11}$$ minutes past 7

Fig. (1) shows the position of the hands of the clock. It is clear tht they are 335 minutes apart. To be in straight line They have to be 40 minutes apart. So the minute hand will have to move 5 minutes space.

55 minutes space gained in 60 minutes.

Therefore, 5 minutes space will be gained in

$$\Large \frac{60}{55} \times 5=\frac{60}{11}=5\frac{5}{11}$$ minutes

The hands will be in a straight line at $$\Large 5\frac{5}{11}$$ minutes part 7.

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

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