Jake can dig a well in 16 days. Paul can dig the same well in 24 days. Jake,…
2024
Jake can dig a well in 16 days. Paul can dig the same well in 24 days. Jake, Paul and Hari together dig the well in 8 days. In how many days Hari alone can dig the well?
- A.
50
- B.
45
- C.
48
- D.
55
Attempted by 770 students.
Show answer & explanation
Correct answer: C
Solution: Find each person's one-day work and use subtraction to get the third person's rate.
Jake's one-day work = 1/16
Paul's one-day work = 1/24
Jake and Paul's combined one-day work = 1/16 + 1/24 = 5/48
All three together one-day work = 1/8 = 6/48
Hari's one-day work = 6/48 - 5/48 = 1/48
Therefore Hari alone can dig the well in 48 days.