Question
Download Solution PDFBoth tap M and tap N together can fill a tank in 20/3 hours. If tap M opens for only 4 hours and the remaining tank is filled by tap N for only 9 hours. How many hours to fill the tank by tap N?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
According to question
⇒ (M + N) × 20/3 = 4M + 9N
⇒ 20M + 20N = 12M + 27N
⇒ 8M = 7N
⇒ M/N = 7/8
To fill the complete tank by tap N = (4M + 9N)/efficiency of N
To fill the complete tank by tap N = (4 × 7 + 9 × 8)/8 = 100/8 = 25/2
∴ To fill the complete tank by tap N is 12.5 hoursLast updated on Jul 12, 2025
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