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This question belongs to Arithmetic Ability Time And Work
Time and Work
?

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

Answer & Solution
Correct Answer: Option B
  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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1 Comment
Kazi Arif
Kazi Arif 6 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