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### Oliveboard Question of the day

**Question:** 12 women can complete a work in N days. 7 men can finish the same work in (N+9) days. The time taken by 9 women to complete the work is 2/3 times the time taken by 5 men to complete the work. Find the value of N.

**Answer Options:**

(1) 18

(2) 21

(3) 25

(4) 28

(5) 24

#### Solution posted below. Click on the plus sign to view the solution.

### Answer and Explanation

**Answer key: 2**** Solution:**

The time taken by 9 women to complete the work is 2/3 times the time taken by 5 men to complete the work.

It means efficiency of 9 women = 3/2 times the efficiency of 5 men

Efficiency of 6 women = Efficiency of 5 men

Let a man do 6k units of work in a day.

Then, a woman does 5k units of work in a day.

12 women can complete the work in N days and 7 men in (N+9) days.

Hence, total work = 12 x 5k x N = 7 x 6k x (N+9)

60kN = 42k(N+9)

60N = 42N + 378

18N = 378

N = 21 days

2) 21

N = 21 Days

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21 is the value of N

Option No 2 i.e 21 days

21

(2)

21

21 days

21 Days

21

21

Ans: Option B) 21 days

21

21 days

2) 21

21 days

21 days

21 days

21 days

21

21 days option 2)

21 days

2. 21

(2) 21 DAYS

Answer is (2) it means 21 days.

21 days

2) 21 days.

2) 21 Days

2)21 days

2) 21 days

21days

21 days

Option 2: 21

B.21

12n/9=2/3{7(n+9)/5}

~n=21

option (2):21

Option (2):21