Question
A alone can do a piece of work in 10 days and B alone in 15 days. In how many days will they finish the work together?
Solution
ATQ, A's 1-day work = 1/10 B's 1-day work = 1/15 Together in 1 day = 1/10 + 1/15 LCM of 10 and 15 = 30 1/10 = 3/30, 1/15 = 2/30 Total = (3 + 2)/30 = 5/30 = 1/6 So time = 6 days
More Time and work Questions
- A is half as efficient as B. C does half as much work as A and B together. If c alone can do the work in 40 days. Then in how many days will A, B and C tog...
- A can finish a work in 18 days and B can finish it in 24 days. They work together for 6 days, then A leaves. In how many more days will B finish the remain...
- A fence is constructed using 900 wooden planks. ‘X’ alone can place 10 planks per minute, while ‘Y’ alone can complete the fence in 100 minutes. ‘Z’, a cur...
- 'B' and 'C' in a team can complete a piece of work in 25 days and on other hand 'B' alone can do the same work in 40 days. If they started the work in a t...
- ‘A’ can finish a project in 40 days, whereas ‘B’ finishes 50% of the project in 12 days less than ‘A’. How many days will it take both ‘A’ and ‘B’ to compl...
- The time taken by P to complete a task is half of the time taken by Q. Q and R working together finish the task in 20 days, while P and R take 15 days. How...
- The efficiency ratio of Neha, Karan, and Ishaan is 16:11:14, respectively. Together, they can complete a task in 30 days. Neha and Karan started the task, ...
- Ram and Shyam are partners in completing a project. Ram can finish the project in 42 days, while Shyam can complete it in 54 days. Both began the project t...
- Akhil and Nikhil together can complete a work in 10 days while Nikhil alone takes 15 days to complete 30% of the work. If the efficiency of Sachin is 25% m...
- 20 men can finish a work in 220 days, but at the end of 90 days, 20 additional men are employed. In how many more days will the work be completed?
Relevant for Exams:
