Question : 15 men complete a work in 10 days. 15 women complete the same work in 12 days. If all these men and women work together, then the number of days required to complete that work is:
Option 1: $5\frac{5}{11}$
Option 2: $4\frac{3}{11}$
Option 3: $7\frac{2}{11}$
Option 4: $6\frac{4}{11}$
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: $5\frac{5}{11}$
Solution : Time taken by 15 men to complete the work = 10 days ⇒ Part of work done by 15 men in a day = $\frac{1}{10}$ Time taken by 15 women to complete the work = 12 days ⇒ Part of work done by 15 women in a day = $\frac{1}{12}$ Let time taken by (15 men + 15 women) to complete the work = $x$ days ⇒ Part of work done by (15 men + 15 women) in a day = $\frac{1}{x}$ ⇒ $\frac{1}{10}$ + $\frac{1}{12}$ = $\frac{1}{x}$ ⇒ $\frac{1}{x}$ = $\frac{11}{60}$ Time taken by (15 men + 15 women) to complete the work = $\frac{60}{11}$ = $5\frac{5}{11}$days Hence, the correct answer is $5 \frac{5}{11}$.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : 5 men and 8 women can complete a work in 12 days working together, while 3 men and 7 women together can complete the same work in 15 days. In how many days will 11 women complete the same work?
Question : 10 women can do a work in 6 days and 6 men can do the same work in 5 days. If all these men and women work together, then how many days will they take to finish this work?
Question : 15 men can complete a work in 25 days and 25 women can complete the same work in 40 days. If all the 15 men and 25 women work together, in how many days will the work get completed?
Question : 4 men and 5 women can complete a work in 15 days, whereas 9 men and 6 women can complete it in 10 days. To complete the same work in 7 days, how many women should assist 4 men?
Question : Two men and 7 women can complete a work in 28 days, whereas 6 men and 16 women can do the same work in 11 days. In how many days will 5 men and 4 women, working together, complete the same work?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile