Pipes and Cisterns Practice Test 1 with solutions

Question : 37 of 40

Marks: +1, -0

Pipe A and B can fill tank in 43 and 41 minutes respectively. Both the pipes are opened simultaneously but pipe B is closed after 19 minutes and the remaining portion of the tank is filled by Pipe A alone. Find the time taken by Pipe A in order to fill the remaining portion of the tank after Pipe B was closed.

$7 1/{41}$ minutes
${169}/{43}$ minutes
$4 3/{31}$ minutes
$5 6/{43}$ minutes
4 minutes

Validate

Solution:

Part of tank filled by A and B in 1 minute
=

1/{43}+/{41}

{41+43}/{1763}

{84}/{1763}

Part of tank filled by A and B in 19 minutes
=

{84}/{1763} × 19

{1596}/{1763}

Remaining portion =

1 - {1596}/{1763}

{167}/{1763}

Time taken by Pipe A to fill the tank = 43 minutes
Time taken by

{167}/{1763}

th part of the tank to be filled =

(43×{167}/{1763})

minutes
=

{167}/{41}

4 3/{41}

minutes

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