Question
A started a work such that he can complete the whole work in 30 hours. After working for 10 hours, he worked with the rate such that the whole work can be completed in 24 hours. In how many hours A can complete the whole work?
Solution
Let the total work = 120 units Efficiency of A when he can complete the whole work in 30 hours = 120/30 = 4 units/hour Efficiency of A when he can complete the whole work in 24 hours = 120/24 = 5 units/hour Amount of work done in 10 hours = 10 × 4 = 40 units Time taken to complete the remaining work = (120 – 40)/5 = 16 hours Therefore, total time taken = 16 + 10 = 26 hours
More Time and work Questions
- P and Q can do a piece of work in 32 and 40 days respectively. They began to work together but P leaves after sometimes and Q completed remaining work in 1...
- A and B together can finish a work in 10 days. If A alone can finish it in 25 days, in how many days can B alone finish it?
- P and Q together can do a piece of work in 30 days, Q and R together can do it in 20 days. P starts the work and works on it for 5 days, then Q takes it up...
- A can fabricate a divider in 15 days , while B alone can assemble it in 25 days, If they construct it together and get an installment of Rs 7000, then find...
- A can finish a work in 12 days and B can finish the same work in 18 days. They work together for 4 days and then B leaves. In how many more days can A alon...
- A can complete a piece of work in 10 days and B can complete it in 15 days. They start working together, but B leaves after 3 days. In how many more days w...
- The time taken by ‘A’ to build a wall alone is 50% more than the time taken by him to build it along with ‘B’. ‘B’ will take how much percent more time to ...
- 10 men or 50 women can complete a piece of work in 40 days. A man and a woman together complete the work and receive a total wage of Rs. 6,000. Find the di...
- A can complete a piece of work in 18 days. B can complete the same work in 72 days. While C is 33(1/3) more efficient than B. All three started working to...
- Sudhanshu completes `1/3` of work in 12 days, then he completes the remaining work with the help of Neeraj in 4 days. The time required for Neer...
