49 pumps can empty a reservoir in 6 1/2 days, working 8 hours a day. if 196…
2025
49 pumps can empty a reservoir in 6 1/2 days, working 8 hours a day. if 196 pumps are used for 5 hours a day , then the same work will completed in.
- A.
2.6 days
- B.
3 days
- C.
2.5 days
- D.
2 days
Attempted by 15 students.
Show answer & explanation
Correct answer: A
Solution: Step-by-step calculation.
Compute total pump‑hours required: 49 pumps × 6.5 days × 8 hours/day = 2548 pump‑hours.
Compute daily pump‑hours with the new arrangement: 196 pumps × 5 hours/day = 980 pump‑hours/day.
Days required = total pump‑hours ÷ daily pump‑hours = 2548 ÷ 980 = 2.6 days.
Alternate proportional method: days2 = 6.5 × (49 × 8) ÷ (196 × 5) = 6.5 × 392 ÷ 980 = 6.5 × 0.4 = 2.6 days.
Answer: 2.6 days