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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: Option B

Solution(By Examveda Team)

  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
$$\eqalign{ & = \frac{{36}}{2} \cr & = 18{\text{ days}} \cr} $$

This Question Belongs to Arithmetic Ability >> Time And Work

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Comments ( 1 )

  1. Kazi Arif
    Kazi Arif :
    4 years ago

    If Tapas alone takes x days to complete the work, then

    =
    1
    +
    1
    =
    1
    x 2x 12


    2 + 1
    =
    1
    2x 12

    ⇒ 2x = 36
    ⇒ x = 18 days

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