RRB Junior Engineer Stage 1 Model Papers 4

Question : 27 of 99

Marks: +1, -0

Two pipes A and B can fill a tank in 6 hours and 4 hours respectively. If they are opened on alternate hours and if pipe A is opened first, then the tank shall be full in

$4 1/2 \hrs$
$5 \hrs$
$5 1/2 \hrs$
$6\hrs$

Validate

Solution:

A‘s work in 1 hour

=1/6

B‘s work in 1 hour

=1/4

(A + B)‘s 4 hour‘s work when opened alternately

=10/12=5/6

Remaining part

=(1-5/6)=1/6

Now, it is A‘s turn and

1/6

part is filled by A in 1 hour.
∴ Total time taken to fill the tank

=(4+1)\hers=5 hrs

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