Find at what time between 8 and 9 o'clock will the hands of a clock being the same straight line but not together.
at 120/11 min.
at 122/11 min.
at 127/11 min.
at 130/11 min.
Correct Answer :
A. at 120/11 min.
At 8 o'clock, the hour hand is at 8 and the minute hand is at 12, i.e. the two hands_ are 20 min. spaces apart.
To be in the same straight line but not together they will be 30 minute spaces apart. So, the minute hand will have to gain (30 - 20) = 10 minute spaces over the hour hand.
55 minute spaces are gained. in 60 min.
10 minute spaces will be gained in (60 x 10)/55 min. = 120/11min.
:. The hands will be in the same straight line but not together at 120/11 min.
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at 120/11 min.
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