Question : Rakshit, Ajay, and Satish are sanitation workers in a Municipal Corporation. Rakshit alone takes 20 hours to clean a drain, while Ajay takes 12 hours when working alone to do the same. All three together take only 5 hours to clean the drain. In how many hours, can Satish complete the work alone?
Option 1: 12
Option 2: 10
Option 3: 15
Option 4: 18
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: 15
Solution : Given: Rakshit takes 20 hours to clean a drain. Ajay takes 12 hours to clean the drain. Rakshit, Ajay, and Satish take 5 hours to clean the drain. Total work = LCM of (20, 12, 5) = 60 units Efficiency of Rakshit = $\frac{60}{20}$ = 3 units/hours Efficiency of Ajay = $\frac{60}{12}$ = 5 units/hours Efficiency of Rakshit, Ajay, and Satish = $\frac{60}{5}$ = 12 units/hours Efficiency of Satish = 12 – 8 = 4 units/hours Time taken by Satish to complete the work = $\frac{60}{4}$ = 15 hours Hence, the correct answer is 15.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : Two workers A and B are engaged to do a piece of work. Working alone A would take 8 hours more to complete the work than when working together. If B worked alone, would take $4\frac{1}{2}$ hours more than when working together. The time required to finish the work
Question : 15 men take 20 days to complete a job, working 8 hours a day. The number of hours a day that 20 men should take to complete the job in 12 days.
Question : A and B together can do a piece of work in 12 days, while A alone can do the same work in 30 days. B alone can do it in:
Question : Anshu, Swati, and Rajni can finish a work in 4 days if they work together. However, Anshu alone will take 9 days to complete the work, and Swati alone will complete the work in 12 days. How many days will Rajni alone take to complete the work?
Question : A and B can do a certain work in 6 hours, and A, B, and C together take 4 hours to do the same. How long will it take for C alone to accomplish the task?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile