Question
At what time between 5.30 and 6 will the hands of a clock be at right angles?
Answer: Option B
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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 \(\left(\frac{60}{55}\times40\right)min.=43\frac{7}{11}min\)
So, = \(43\frac{7}{11}min. past 5\)
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