book Maths Puzzle Numerical Ability

A swimming pool can be filled in 6 h and requires 9 h to drain. If the drain was accidentally left open for 6 h while the pool was being filled, how long did filling the pool require?

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an algebra teacher stated that 2x+1=1 5=2x=14 are equivalent. what was done to the first equation to get the second equation? what is the value of x that makes both equations equal? Algebraic expression {{{bx^2-cx+a^2=0}}} the differ by the sign of the square root. what is the one with the plus sign?