Q. 194.1( 29 Votes )

# Pipe A can fill a cistern in 6 hours and pipe B can fill it in 8 hours. Both the pipes are opened and after two hours, pipe A is closed. How much time will B take to fill the remaining part of the tank?

Answer :

Pipe A can fill the cistern in : 6 hours

Pipe B can fill the cistern in : 8 hours

Part of cistern filled by pipe A in one hour:

Part of cistern filled by pipe B in one hour:

Part of cistern filled by pipe A and pipe B together in one hour: =

They can fill the cistern together in hours.

Pipes A and B filled cistern together for 2 hours,

So part of the cistern filled pipes by A and B in 2 hours : =

Part of cistern which is empty =

Number of hours taken by pipe B to fill left over part of cistern : = ( here 8 is hours required by pipe B to fill the remaining part of the cistern).

Time taken by pipe B to fill the remaining part of the cistern: = = 3 hours 20 min

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PREVIOUSA pipe can fill a cistern in 9 hours. Due to a leak in its bottom, the cistern fills up in 10 hours. If the cistern is full, in how much time will it be emptied by the leak?NEXTA alone can do a piece of work in 10 days and B alone can do it in 15 days. In how many days will A and B together do the same work?

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