Two pipes P_(1) " and " P_(2) can filla tank in 6 h and 3 h, respectively. Both the pipes are opened simultaneously and pipe P_(1) is closed after 1 h.. Find the time taken by P_(2) to fill the remaining par of the tank (in hours).

Two pipes P_(1) " and " P_(2) can filla tank in 6 h and 3 h, respectiv

1.	Two pipes P_(1) " and " P_(2) can filla tank in 6 h and 3 h, respectively. Both the pipes are opened simultaneously and pipe P_(1) is closed after 1 h.. Find the time taken by P_(2) to fill the remaining par of the tank (in hours).
Answer» 1 `1(1)/(2)` 2 `2(1)/(2)` SOLUTION :Pipe `P_(1) " can fill " (1)/(6)` of the tank in 1 h. Pipe `P_(2) " can fill " (1)/(3)` of the tank in 1 h. Pipe `P_(1) " and " P_(2) " together can fill " ((1)/(6) + (1)/(3))` of thetank in 1 h. The part of the tank to be filled = `1-((1)/(6) + (1)/(3))` ` = 1-((1+2)/(6)) = (6-3)/(6) = (3)/(6) = (1)/(2)` Time taken by the pipe `P_(2) " to fill " (1)/(2)` of tank at the `"rate of " (1)/(3) " per hour "=(((1)/(2)))/(((1)/(3))) = (1)/(2) xx (3)/(1) = 1(1)/(2)`h. HENCE, the correct option is (b).