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?
Options
9 days
18 days
6 days
4 days
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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)
Is there an error in this question or solution?
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