Question
A can complete a piece of work in 12 days and B can complete it in 18 days. They work together for 4 days and then B leaves. In how many more days will A finish the remaining work?
Solution
ATQ, A’s 1‑day work = 1/12 B’s 1‑day work = 1/18 Together in 1 day: = 1/12 + 1/18 LCM(12,18) = 36 = 3/36 + 2/36 = 5/36 Work done in 4 days = 4 × 5/36 = 20/36 = 5/9 Remaining work = 1 − 5/9 = 4/9 Now only A works: Time = (remaining work) ÷ (A’s 1‑day work) = (4/9) ÷ (1/12) = (4/9) × 12 = 48/9 = 16/3 days Answer: A will take 16/3 days more.
More Time and work Questions
- Karan is capable of doing 50% of a job in 25 days, while Meera does 25% of it in 20 days. Karan works for 20 days and then leaves. How many days will Meera...
- A contractor assigned 18 laborers to complete a task in 16 days. Unfortunately, 6 laborers left after 6 days. How many additional days will be required to ...
- 'B' alone can complete a work in 16 days while 'A' and 'B' together can complete the same work in 8 days. 'A' alone started the work and left after 4 days ...
- Raj, Sanjay and Vaibhav can separately finish a work in 20, 30 and 40 days, respectively. In how many days Raj can finish the work if he is assisted.by San...
- 'A' and 'B' can together complete a job in 15 days. If 'B' alone can finish 50% of the job in 20 days, how long would it take 'A' alone to complete the ent...
- If 20 men or 12 boys can complete a job in 25 days, how long will it take for a team of 15 men and 18 boys to complete the same job? (Calculate approximate...
- Ajay alone can complete a work in 10 days and Bittu alone can complete the same work in 15 days. Ajay starts the work alone and after three days Bittu join...
- P can do a piece of work in 25 days, Q can complete double the work in 40 days and R can do the work in 30 days. If all of them together earn Rs. 7400, the...
- ‘P’ takes 25 days to complete a piece of work. ‘Q’ is 25% more efficient than ‘P’. Find the time taken by them to complete 90% of the work together.
- ‘M’ is 60% more efficient than ‘N’. ‘N’ started the work alone and worked for 20 days and after that ‘N’ is replaced by ‘M’. If the total work is completed...
Relevant for Exams:
