# A and B Can Do a Piece of Work in 6 and 12 Days, Respectively. They (Both) Will Complete the Work in How Many Days? - Mathematics

MCQ

A and B can do a piece of work in 6 and 12 days, respectively. They (both) will complete the work in how many days?

• 9 days

• 18 days

• 6 days

• 4 days

#### Solution

4 days

Explanation:

A's 1 day's work = 1/6

B's 1 day's work = 1/12

(A+ B)'s 1 day's work = 1/6+1/12

= (2+1)/12=3/12=1/4

Hence, both will complete the work in 4 days.

Second Method

Here, x = 6

and y = 12

∴ Time taken by (A+ B) = (xy)/(x+y)

= (6xx12)/(12+6) = 4 days

Concept: Time and Work (Entrance Exam)
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