Math, asked by singhujala40, 8 months ago

Two pipes can fill a cistern in 15 hours and 12 hours respectively and a third pipe
can empty the full tank in 4 hours. If these pipes are opened respectively at 8 AM
9 A.M. and 11 A.M., then at what time the tank shall be empty ?

Answers

Answered by sunitamishra543210
1

Answer:

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Two pipes can fill a tank with water in 15 and 12 hours respectively and a third pipe can empty it in 4 hours. If the pipes be opened in order at 8, 9 and 11 a.m. respectively, the tank will be emptied at

11 : 40 a.m. 

12 : 40 p.m. 

1 : 40 p.m. 

2 : 40 p.m.

Correct Option: A

On the basis of given details in question ,

Part filled by A from 8 a.m to 11 a.m. =3=1155

Part filled by B from 9 a.m. to 11 a.m. =2=1126

Total Part filled till 11 a.m. =1+1=6 + 5=11563030

At 11 a.m. pipe C is opened to empty it. 

∴ Part of tank emptied in 1 hour =1-1-141512

Part of tank emptied in 1 hour =15 - 4 - 5=16010

∴11part will be emptied in11× 10 =11hours or 32303033

i.e. 3 hours 40 minutes or at 11 : 40 a.m.

Therefore , the tank will be emptied at 11 : 40 a.m.

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