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?
Option 1: 20
Option 2: 30
Option 3: 18
Option 4: 24
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 20
Solution : Given: A, B, and C can do a job working alone for 50, 75 and 20 days, respectively. Total work = LCM of (50, 75, 20) = 300 units Efficiency of A = $\frac{300}{50}=6$ Efficiency of B = $\frac{300}{75}=4$ Efficiency of C = $\frac{300}{20}=15$ Total work they have done in the first 4 days. = 4 × (6 + 4 + 15) = 100 units Remaining work = 300 – 100 = 200 units Therefore, days required for A & B to complete the work = $\frac{\text{Remaining work}}{\text{Efficiency of A and B combined}}$ = $\frac{200}{6+4}$ = $20$ days Hence, the correct answer is 20.
Candidates can download this ebook to know all about SSC CGL.
Admit Card | Eligibility | Application | Selection Process | Preparation Tips | Result | Answer Key
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?
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 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 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 complete a piece of work in 12 days. They worked together for 5 days and then A alone finished the rest of the work in 14 days. A single person can complete the work in:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile