Question : If 2 men or 4 women can build a wall in 34 days, in how many days can 6 men and 5 women build the same wall?
Option 1: 24
Option 2: 8
Option 3: 12
Option 4: 16
Correct Answer: 8
Solution : If 2 men can build the wall in 34 days, then 1 man can build it in 2 × 34 days ⇒ work rate of 1 man = $\frac{ 1}{2×34}$ per day if 4 women can build the wall in 34 days, then 1 woman can build it in 4 × 34 days. ⇒ work rate of 1 women = $\frac{1}{4 × 34}$ per day Now, 6 men and 5 women working together ⇒ Combined work = 6 × $\frac{ 1}{2×34}$ + 5 × $\frac{1}{4 × 34}$ = $\frac{6}{68}$ + $\frac{5}{136}$ = $\frac{17}{136}$ Now, Number of days required = $\frac{1}{\text{Combined work rate}}$ = $\frac{1}{\frac{17}{136}}$ = $\frac{136}{17}$ = 8 Hence, the correct answer is 8
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Question : 8 men and 12 women finish a job in 4 days. While 6 men and 14 women in 5 days. In how many days will 20 women finish the job?
Question : 3 men and 5 women together can complete a work in 6 days, whereas 4 men and 9 women together can do it in 4 days. How many women are required to do the same work in 7 days?
Question : If 4 men or 6 boys can finish a piece of work in 20 days, then in how many days can 6 men and 11 boys finish the same work?
Question : 3 men and 7 women can do a job in 5 days, while 4 men and 6 women can do it in 4 days. The number of days required for a group of 10 women working together, at the same rate as before, to finish the same job is:
Question : 24 men can complete a work in 15 days. How many men are needed to complete the same work in 10 days?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile