Fill pipe P is 21 times faster than fill pipe Q. If Q can fill a cistern in…
2024
Fill pipe P is 21 times faster than fill pipe Q. If Q can fill a cistern in 110minutes, find the time it takes to fill the cistern when both fill pipes are opened together.
- A.
5 minutes
- B.
4 minutes
- C.
3 minutes
- D.
6 minutes
Attempted by 1 students.
Show answer & explanation
Correct answer: A
Step-by-Step Analysis
Calculate Individual Rates:
Pipe Q: Fills the cistern in 110 minutes. Its rate is 1/110 cistern per minute.
Pipe P: Fills the cistern 21 times faster than Pipe Q. Its rate is 21 * (1/110) = 21/110 cistern per minute.
Calculate Combined Rate:
Combined Rate = Rate of P + Rate of Q
Combined Rate = 21/110 + 1/110 = 22/110 cistern per minute.
Find Total Time:
Total Time = 1 / Combined Rate
Total Time = 1 / (22/110) = 110 / 22 = 5 minutes.