1.

Two Pipes A And B Together Can Fill A Cistern In 4 Hours. Had They Been Opened Separately, Then B Would Have Taken 6 Hours More Than A To Fill Cistern. How Much Time Will Be Taken By A To Fill The Cistern Separately?

Answer»

Let the CISTERN be filled by PIPE A alone in x hours.

Then, pipe B will FILL it in (x + 6) hours.

1/x + 1/(x + 6) = 1/4 

x2 - 2x - 24 = 0 

(x - 6)(x + 4) = 0 => x = 6.

Let the cistern be filled by pipe A alone in x hours.

Then, pipe B will fill it in (x + 6) hours.

1/x + 1/(x + 6) = 1/4 

x2 - 2x - 24 = 0 

(x - 6)(x + 4) = 0 => x = 6.



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