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  • At what time between 5.30 and 6 will the hands of a clock be at right angles?

At what time between 5.30 and 6 will the hands of a clock be at right angles?

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At 5 o'clock, the hands are 25 min. spaces apart.
To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces.
55 min. spaces are gained in 60 min.
40 min. spaces are gained in

\begin{array}{l} =\left(\frac{60}{55} \times 40\right) min \\ \\ =43 \frac{7}{11} min \\ \\ \therefore \text { Required time }=43 \frac{7}{11} min . \text { past } 5 \end{array}

Posted by

Deependra Verma

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