After working for 6 days, Ashok finds that only 1/3 rd of the work has been…
2024
After working for 6 days, Ashok finds that only 1/3 rd of the work has been done. He employs Ravi who is 60% as efficient as Ashok. How many days more would Ravi take to complete the work?
Answer: C. 20 days — Key insight: convert work done into daily rates, find the remaining work, then divide by Ravi's rate. After 6 days Ashok has completed 1/3 of the work, so…
- A.
19 days
- B.
10 days
- C.
20 days
- D.
12 days
Attempted by 44 students.
Show answer & explanation
Correct answer: C
Key insight: convert work done into daily rates, find the remaining work, then divide by Ravi's rate.
After 6 days Ashok has completed 1/3 of the work, so Ashok's daily rate = (1/3) ÷ 6 = 1/18 of the work per day.
Ravi is 60% as efficient as Ashok, so Ravi's daily rate = 0.6 × 1/18 = 1/30 of the work per day.
Remaining work = 1 − 1/3 = 2/3.
Time required for Ravi = (remaining work) ÷ (Ravi's rate) = (2/3) ÷ (1/30) = 20 days.
Answer: 20 days