Question : A can do a piece of work in 20 days and B in 30 days. They work together for 7 days and then both leave the job. Then C alone finishes the remaining work in 10 days. In how many days will C finish the full work?
Option 1: 25 days
Option 2: 30 days
Option 3: 24 days
Option 4: 20 days
Latest: SSC CGL Tier 1 Result 2024 Out | SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL Tier 1 Scorecard 2024 Released | SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: 24 days
Solution : Given: A can do a piece of work in 20 days and B in 30 days. They work together for 7 days and then both leave the job. The total work of A and B is LCM of (20, 30) = 60 units So, the efficiency of A $=\frac{60}{20} = 3$ Efficiency of B $=\frac{60}{30} = 2$ Total work done by A and B in 7 days = (3 + 2) × 7 = 5 × 7 = 35 units The remaining work is 60 – 35 = 25, which is done by C in 10 days. (Efficiency of C) × 10 = 25 ⇒ Efficiency of C = $\frac{5}{2}$ Now, the time taken by C to complete the whole work is $\frac{60}{\frac{5}{2}}$ = 24 days Hence, the correct answer is 24 days.
Candidates can download this ebook to know all about SSC CGL.
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Question : A and B together can finish a work in 30 days. They worked on it for 20 days and then B left. The remaining work was done by A alone in 20 days. In how many days can A alone finish the work?
Question : A completes 30% of a project in 30 days. He then calls in B and they together finish the remaining work in 20 days. How long would B alone take to do the whole work?
Question : A and B together can do a piece of work in 36 days and B and C together can do it in 24 days. A and C together can do it in 18 days. The three working together can finish the work in:
Question : A and B together can finish a job in 24 days, while A, B, and C together can finish the same job in 8 days. C alone will finish the job in:
Question : A, B, and C can do a job working alone in 50, 75 and 20 days, respectively. They all work together for 4 days, then C quits. How many days will A and B take to finish the rest of the job?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile