Question
A can finish a piece of work in 15 days and B can finish it in 20 days. They work together for 4 days and then B leaves. In how many more days can A alone finish the remaining work?
Solution
ATQ, Assume total work = LCM(15, 20) = 60 units. A’s rate = 60/15 = 4 units/day B’s rate = 60/20 = 3 units/day Together in 1 day = 4 + 3 = 7 units In 4 days they complete = 7 × 4 = 28 units Remaining work = 60 − 28 = 32 units A alone does 4 units/day Required days = 32 / 4 = 8 days
More Time and work Questions
- P, Q and R can do some work in 11 days, 20 days and 55 days respectively. In how many days can the work be done, if P gets the assistance of Q and R on alt...
- ‘A’ and ‘B’ can do a piece of work in 17 days and 34 days, respectively. They started working together but ‘A’ left after 4 days. Find the time taken by ‘B...
- A, B, and C together can do a piece of work in 28 days, whereas C alone can do the same work in 42 days. How long will A and B take together to finish it?
- Rahul used to complete 25 problems in 50 minutes. But now, his efficiency has dropped by 20%. How much time will he need to complete the same number of pro...
- Aman finishes 2/5 of a task in 8 days, while Bhanu completes the entire task in 16 days. How long will it take for both Aman and Bhanu, working together, t...
- 28 men can complete a piece of work in 12 days. 12 men started the same work and worked for 10 days, and then joined by ‘x’ more men such that the remainin...
- If ‘X’ finishes a project in 24 days whereas ‘X’ and ‘Y’ working together can finish it in 15 days, then determine the time ‘Y’ alone will take to finish t...
- Aisha and Neel can complete a job alone in 66 days and 99 days respectively. Working together, they earn a total wage of Rs. 11,550. How much does Aisha re...
- 'N,' 'V,' and 'R' have individual work completion times of 140 days, 112 days, and 80 days, respectively. They all started working together on a task, but ...
- A man, a woman and a boy can do a work in 4, 8, 32 days respectively. How many boys are required with 1 man and 1 woman to complete the same work in&n...
