How many minutes does a watch lose per day, if its hands coincide every 64 minutes ?

A 36 7/9 min

B 32 8/11 min

C 34 3/11 min

D 65 5/11 min

Solution

Correct Answer: Option B

55 min. spaces are covered in 60 min.

60 min. spaces are covered in \(\frac{60}{50}\times60\)  min. = \(65\;\frac5{11}\) min

Loss in 64 min. = \(65\;\frac5{11}-64\;=\;\frac{16}{11}\) min

Loss in 24 hrs = \(\frac{16}{11}\times\frac1{64}\times24\times60\) min = \(32\frac8{11}\) min

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