Question
How much does a watch lose per day, if its hands coincide every 64 minutes?
Answer: Option A
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55 min. spaces are covered in 60 min.
60 min. spaces are covered in \(\left(\frac{60}{55}\times60\right)min.=65\frac{5}{11}min\)
Loss in 64 min. = \(\left(65\frac{5}{11}-64\right)=\frac{16}{11}min\)
Loss in 24 hrs = \(\left(\frac{16}{11}\times\frac{1}{64}\times24\times60\right)min.=32\frac{8}{11}min\)
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