Question

Puneet alone can complete a work in 30 days and Sumit alone can complete the same work in half the time taken by Puneet. In how many days will both of them together complete 1/2 of the total work?

• A. 7 days
• B. 10 days
• C. 5 days
• D. 9 days

Answer 1

Answer:

C. 5 days

Solution: Given: Time taken by Puneet to complete the work = 30 days Time taken by Sumit to complete the work = 30/2 = 15 days Concept Used: Total Work = Efficiency × Time Calculation: Let the total work be 30 units (LCM of 30 & 15) ⇒ Efficiency of Puneet = 30 ÷ 30 = 1 unit ⇒ Efficiency of Sumit = 30 ÷ 15 = 2 units Efficiency of Puneet & Sumit = 1 + 2 = 3 units Time required by Puneet & Sumit to complete half work ⇒ (30/2) ÷ 3 = 15 ÷ 3 = 5 days ∴ Puneet & Sumit can complete half of the total work in 5 days.