Question

Choose the correct answer from the alternative given.
A does half as much work as B in three fourth of the time. If together they take 18 days to complete the work, how much time will B alone take to do it ?

• A. 40 days
• B. 45 days
• C. 50 days
• D. 30days

Answer 1

Answer: (D)

30days

Let B take x days to do the work.
So A will take 2 $\times \frac{3}{4}\times x=\frac{3x}{2}$ days
(A + B)1 day work = $\frac{1}{18}$
or x = 30days
Hence. B will complete the work in 30 days.