Ramesh can finish a work in 20 days and Sushil in 25 days. They both work…
2024
Ramesh can finish a work in 20 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?
- A.
10 days
- B.
11 days
- C.
8 days
- D.
9 days
Attempted by 55 students.
Show answer & explanation
Correct answer: B
Step-by-step solution:
Ramesh's work rate = 1/20 of the job per day.
Sushil's work rate = 1/25 of the job per day.
Together per day they do 1/20 + 1/25 = 9/100 of the job.
Work done in the first 5 days = 5 × 9/100 = 45/100.
Remaining work = 1 − 45/100 = 55/100.
Ramesh alone does 1/20 = 5/100 per day, so days needed = (55/100) ÷ (5/100) = 11 days.
Answer: 11 days