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

A. $$32\frac{8}{{11}}$$ min.

B. $$36\frac{5}{{11}}$$ min.

C. 90 min.

D. 96 min.

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & 55\,\min .\,{\text{spaces}}\,{\text{are}}\,{\text{covered}}\,{\text{in}}\,60\,\min \cr & 60\,\min .\,{\text{spaces}}\,{\text{are}}\,{\text{covered}}\,{\text{in}} \cr & = \left( {\frac{{60}}{{55}} \times 60} \right)\,\min . \cr & = 65\frac{5}{{11}}\,\min . \cr & {\text{Loss}}\,{\text{in}}\,64\,\min . \cr & = {65\frac{5}{{11}} - 64} = \frac{{16}}{{11}}\,\min . \cr & {\text{Loss}}\,{\text{in}}\,24\,hrs. \cr & = \left( {\frac{{16}}{{11}} \times \frac{1}{{64}} \times 24 \times 60} \right)\,\min. \cr & = 32\frac{8}{{11}}\,\min. \cr} $$

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Comments ( 1 )

  1. Arup Basak
    Arup Basak :
    6 months ago

    55 minutes spaces are covered in 60 minutes

    Can't understand the line. Please, explain.

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