A can do a piece of work in 24 days and B in x days. A starts the work and works for 6 days, then B joins and together they work for 2 more days to complete the work. Find the value of x.
Answer & explanation
Correct answer: option 4
A's work of 1 day = \(\frac{1}{24}\)
Work done in 6 days = \(\frac{6}{24}\) = \(\frac{1}{4}\)
Therefore, one - fourth of the work is done
Remaining work is done by A and B together in 2 days
A and B will complete the total work in 3 x 2 = 6 days
Efficiency of B = 4 - 1 = 3
Time taken by B alone to complete the work = \(\frac{Total\; work}{Efficiency}\)
= \(\frac{24}{3}\) = 8 days