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Tapas works twice as fast as Mihir. If both of them together complete a work in 12 days, Tapas alone can complete it in ?

a) 15 days
b) 18 days
c) 20 days
d) 24 days

Answer: b
Explanation:
  Tapas   :   Mihir
Efficiency
units/day  
2 : 1
$$\eqalign{ & {\text{T}} + {\text{M complete in 12 days}} \cr & {\text{Total work }} \cr & = 12 \times \left( {2 + 1} \right) \cr & = 36{\text{ units}} \cr} $$
Tapas alone complete the whole work in
$$\eqalign{ & = \frac{{36}}{2} \cr & = 18{\text{ days}} \cr} $$

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