Question

10 men can finish a piece of work in 10 days, whereas it takes 12 women to finish it in 10 days. If 15 men and 6 women undertake to complete the work, how many days will they take to complete it ?

• A. 2
• B. 4
• C. 5
• D. 11

Answer 1

Answer:

C. 5

Solution: Given: 10 men can finish a piece of work in 10 days, whereas it takes 12 women to finish it in 10 days. Concept Used: Total Men × Day = Total Work Men × Days = Women × Days Calculation: 10 men can finish a piece of work in 10 days, whereas it takes 12 women to finish it in 10 days. ⇒ 10 M × 10 = 12 W × 10 ⇒ M/W = 6/5 Total Work = 10 × 6 × 10 ⇒ 600 If 15 men and 6 women undertake to complete the work ⇒ 600/(15 × 6 + 6 × 5) ⇒ 600/(120) ⇒ 5 Days ∴ 5 days will they take to complete it.