A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:
Solution
Correct Answer: Option B
Let
A, B and C take x, x/2 and x/3 days respectively to finish the work.
Now
(1/x) + (2/x) + (3/x) = 1/2
⇒ (1 + 2 + 3)/x = 1/2
⇒ 6/x = 1/2
⇒ x = 12
So, B takes to finish the work = 12/2 = 6 days
A, B and C take x, x/2 and x/3 days respectively to finish the work.
Now
(1/x) + (2/x) + (3/x) = 1/2
⇒ (1 + 2 + 3)/x = 1/2
⇒ 6/x = 1/2
⇒ x = 12
So, B takes to finish the work = 12/2 = 6 days
Practice More Questions on Our App!
Download our app for free and access thousands of MCQ questions with detailed solutions