A cistern can be filled with water by a pipe in 4 hours and second pipe can empty it in 5 hours. If both the pipes are opened simultaneously, Find the time in which Cistern will be filled?

12 hours
14 hours
16 hours
20 hours

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 4 : 20 hours

Time taken by pipe 1 to fill = 4 hours

Time taken by pipe 2 to empty = 5 hours

Let capacity of cistern = LCM (4 and 5) = 20 units

Efficiency of pipe 1 = 20/4 = 5 units/hour

Efficiency of pipe 2 = 20/5 = –4 units/hour

Total Efficiency of pipe 1 and pipe 2 together = 5 – 4 = 1 unit/hour

⇒Total time taken to fill the cistern = 20/1= 20 hours

4 views Answered 2022-09-04 04:29

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