Two pipes are connected to the cistern which can fill the whole tank in 24 minutes. A drainage pipe empties at rate of 300 liters per hour and is automatically opened every 10 minutes for one minute during which input pipes get closed. If pipes start filling water at 8 : 10 then by what time will the cistern be completely filled if capacity of cistern is 120 liters?

8 : 38
8 : 12
8 : 22
8 : 42
None of the above

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 1 : 8 : 38

Given:

Two pipes can fill the cistern in 24 minutes.

Drain pipe drains water at 300 liters per hour

Capacity of cistern be 120 liters.

Formula used:

If a pipe fills water in a minutes and another empties in b minutes then net part filled in 1 hour = ((1/a) – (1/b))

Calculation:

Inlet pipes fills 5 liters per minute.

In first 10 minutes 50 liters are to be filled.

Now, Drain empties 300 liters per hour = 5 liters per minute

Hence,

At the end of 11 minute cistern is filled only 45 liters are filled.

Now,

⇒ after 22 minutes 90 litres would be filled. 30 more liters will be needed in order for cistern to be completely filled.

⇒ Inlet pipes fills 5 liters per minute hence, within next 6 minutes the cistern will reach to its full capacity.

⇒ Total time = 22 + 6

⇒ Total time = 28 minutes to fill the cistern.

Hence, by 8:38 cistern will be filled

5 views Answered 2022-09-04 04:29

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