Question : A, B and C can all together do a piece of work in 10 days, in which B takes 3 times as long as A and C together to do the work. In how many days can B alone do the work?
Option 1: 50 days
Option 2: 40 days
Option 3: 10 days
Option 4: 15 days
Correct Answer: 40 days
Solution :
Let's suppose, A and C together can complete the work in $n$ days.
So, B takes = $3n$ days
According to the question,
$\frac{3n\times n}{3n + n} = 10$
⇒ $\frac{3n}{4} = 10$
⇒ $3n = 40$
$\therefore$ B alone can complete a work in 40 days.
Hence, the correct answer is 40 days.
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