A water tank is two fifth full Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minute...........

Quant (SSC) Pipes&cistern

A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely ?

6 min to empty

7 min to full

6 min to full

7 min to empty

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Explanation:

There are two important points to learn in this type of question,
First, if both will open then tank will be empty first.
Second most important thing is,
If we are calculating filling of tank then we will subtract as (filling-empting)
If we are calculating empting of thank then we will subtract as (empting-filling)
So lets come on the question now,
Part to emptied 2/5
Part emptied in 1 minute =
1/6−1/10=1/15
=>1/15:2/5::1:x
=>2/5∗15=6mins