At what time between 10 and 11 O'clock will the hands of a clock be in the same straight line but not together
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At 9 o'clock, the hour hand is at 9 and the minute hand is at 12. it means that the two hands are 15 min spaces apart .To be in the same straight line (but not together ), they will be 30 min space apart .
∴ The minute hand will have to gain (30 - 15) = 15 min space over the hour hand .
As we Know, 55 min spaces are gained in 60 min.
∴ 15 min will be gained in (60/55 x 15) min = 180/11 = 164 /11 min
Hence, the hands will be in the same straight line but not together at 164/ 11 min past 9.
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