Question : A can do $\frac{2}{5}$ of a work in 12 days while B can do $66 \frac{2}{3}\%$ of the same work in 16 days. They work together for 10 days. B alone will complete the remaining work in:
Option 1: 6 days
Option 2: 4 days
Option 3: 8 days
Option 4: 9 days
Correct Answer: 6 days
Solution : A can do $\frac{2}{5}$ of a work in 12 days. B can do $66\frac{2}{3}\%$ of the same work in 16 days They work together for 10 days. Total work = time × efficiency A can do whole work in $=12 × (\frac{5}{2})=$ 30 days $66\frac{2}{3}\% = \frac{200}{3}\% = \frac{2}{3}$ B can do $\frac{2}{3}$ of a work in = 16 days B can do whole work in $=16 × (\frac{3}{2})=$ 24 days Let the total work = LCM of 24 and 30 = 120 units A and B together in 10 days an do (5 + 4) × 10 = 90 units of work Remaining work = 120 – 90 = 30 units So, B will complete the remaining work in = $\frac{30}{5}$ = 6 days Hence, the correct answer is 6 days.
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Question : A can do $\frac{2}{5}$ of a work in 6 days and B can do $\frac{2}{3}$ of the same work in 12 days. A and B worked together for 6 days. C alone completed the remaining work in 8 days. A and C, working together, will complete the same work in:
Question : A can do $\frac{4}{5}$th of a work in 20 days and B can do $\frac{3}{4}$th of the same work in 15 days. They work together for 10 days. C alone completes the remaining work in 1 day. B and C together can complete $\frac{3}{4}$th of the same work in:
Question : A can do a piece of work in 10 days, while A and B together can complete it in $2 \frac{1}{2}$ days. How long will B alone take to complete the work?
Question : A can complete $\frac{2}{3}$ of a work in 4 days and B can complete $\frac{3}{5}$ of the work in 6 days. In how many days can both A and B together complete the work?
Question : A and B together can do a certain work in $x$ days. Working alone, A and B can do the same work in ($x$ + 8) and ($x$ + 18) days, respectively. A and B together will complete $\frac{5}{6}$th of the same work in:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile