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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?

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

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When the hands of the clock are in the same straight line but not together, they are 30 minute spaces apart. At 7 o'clock, they are 25 min. spaces apart.

\\ \therefore$ Minute hand will have to gain only 5 min. spaces. 55 min. spaces are gained in 60 min. 5 min. spaces are gained in $=\left(\frac{60}{55} \times 5\right) min$ \\ $=5 \frac{5}{11} min$ \\ $\therefore$ Required time $=5 \frac{5}{11}$ min. past 7

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Deependra Verma

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