Question : Ganesh, Ram, and Sohan can complete a work in 16 days. If Ganesh and Ram together can complete the same work in 24 days, the number of days Sohan alone takes to finish the work is:
Option 1: 40
Option 2: 48
Option 3: 32
Option 4: 30
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: 48
Solution : Given: Time taken by Ganesh, Ram, and Sohan together to complete the work = 16 days ⇒ Part of work done by Ganesh, Ram, and Sohan in a day = $\frac{1}{16}$ Time taken by Ganesh and Ram to complete the work = 24 days ⇒ Part of work done by Ganesh and Ram in a day = $\frac{1}{24}$ Let the time taken by Sohan alone to do the job = $x$ days ⇒ Part of the job done by Sohan alone in 1 day = $\frac{1}{x}$ So, $\frac{1}{24}$ + $\frac{1}{x}$ = $\frac{1}{16}$ ⇒ $\frac{1}{x}$ = $\frac{1}{16}$ – $\frac{1}{24}$ = $\frac{3 - 2}{48}$ = $\frac{1}{48}$ Therefore, the time taken by Sohan alone to complete the work = $x$ = 48 days Hence, the correct answer is 48.
Candidates can download this ebook to know all about SSC CGL.
Admit Card | Eligibility | Application | Selection Process | Preparation Tips | Result | Answer Key
Question : A and B can do a work in $26 \frac{2}{3}$ days. B and C together can complete the same work in 48 days, while A and C together can complete the same work in 30 days. How long (in days) will A alone take to complete 60% of the 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 : 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 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 : If A and B together can do a piece of work in 20 days, and A alone can do the same work in 30 days, in how many days can B alone complete the same work?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile