Question 725074
Slow pipe rate = {{{1/t}}} jobs per hour
Fast pipe rate = {{{1/(t-3)}}} jobs per hour
Slow plus Fast pipes at same time rate = {{{1/(6&2/3)}}} jobs per hour


The rates for each pipe are additive while they both work simulteneously.  Solve first for t based on that.  You can then know the rate for the slow pipe and can easily compute the rate for the fast pipe.


{{{highlight(1/t+1/(t-3)=1/(6&2/3))}}}