Question : A, B, and C can do work separately in 16, 32, and 48 days, respectively. They started the work together, but B left off eight days and C six days before the completion of the work. In what time is the work finished?
Option 1: 10 days
Option 2: 9 days
Option 3: 12 days
Option 4: 14 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: 12 days
Solution : Given: A, B, and C can do work separately in 16, 32, and 48 days. Let the work be finished in $x$ days. By applying the formula: Using, If a man can do the work in $n$ days, then 1 day's work of the man $=\frac{1}{n}$. According to the question, $\frac{x}{16}+\frac{x - 8}{32}+\frac{x-6}{48}$ = 1 ⇒ $\frac{6x+3x-24+2x-12}{96}$ = 1 ⇒ 11$x$ – 36 = 96 $x$ = $\frac{132}{11}$ = 12 Hence, the correct answer is 12 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, B and C can work separately in 18, 36 and 54 days. They started the work together, but B and C left 5 days and 10 days, respectively, before the completion of the work. In how many days was the work finished?
Question : S, T, and U can complete a work in 40, 48, and 60 days, respectively. They received Rs. 10,800 to complete the work. They began the work together, but T left 2 days before the completion of the work and U left 5 days before the completion of the work. S has completed the
Question : Pawan can do a piece of work in 32 days. He worked for 8 days and left the work. Thereafter Sandeep finished the remaining work in 27 days. In how many days can Pawan and Sandeep together do the whole work?
Question : A and B can do a piece of work in 45 and 40 days, respectively. They began the work together, but A left after some days and B finished the remaining work in 23 days. A left after:
Question : A, B, and C can separately do work in 6, 10, and 15 days respectively. They started to work together but C left after 2 days. In how many days will the remaining work be finished?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile