Question
A and B together can complete a piece of work in 12
days, while B and C together can complete the same work in 15 days. A and C together can complete the work in 20 days. If all three work together, in how many days will they complete the work?Solution
Let the total work be the LCM of 12, 15, and 20, which is 60 units. Work rate of A and B together = 60 / 12 = 5 units/day. Work rate of B and C together = 60 / 15 = 4 units/day. Work rate of A and C together = 60 / 20 = 3 units/day. Adding all three equations: (A + B) + (B + C) + (A + C) = 5 + 4 + 3 = 12 units/day. Twice the combined work rate of all three (A + B + C) = 12. Work rate of A + B + C = 12 / 2 = 6 units/day. Time taken to complete the work = Total work / Combined rate = 60 / 6 = 10 days. Correct answer: a) 10
- Where are Swadham and Sumeru caves located in Uttrakhand? 
- Rishikesh Karanprayag rail line was in discussion recently, what will be the total length of this rail line? 
- The Sipat Super Thermal Power Station is located in which state ? 
- Which among the following can also be termed as the National Income of a country? 
- What Is the Highest Point of the Naga Hills? 
- In which state DFC approves up to $500 mn debt financing for First Solar’s manufacturing facility? 
- Which of the following key themes is being promoted as part of Poshan Maah 2024 to ensure healthy growth in children? 
- Recently India's first agri-commodity option was launched in: 
- Of the following which is NOT correct about International Court of Justice? - 1) It is a judicial branch of the United Nations (UN) - 2) It wa... 
- The RBI will soon issue new 10 rupees note which will bear the image of: