1.

Two pipes running together can fill a tank in 11 minutes. If one pipetakes 5 minutes more than the other to fill the tank separately, find thetime in which each pipe would fill the tank separately. e

Answer»

Let the time taken by 1 pipe a be xthen pipe taken by 2nd pipe b =x+5time taken by both pipe together 11 1/9 or 100/91/a+1/b=1/t1/x+1/(x+5)=9/100(x+5+x)/x(x+5)=100/9100(2x+5)=9(x2+5x)200x+500=9x2+45x9x2-155x-500=09x2-180x+25x-500=09x(x-20)+25(x-20)=0(x-20)(9x+25)=0since time cannot be negativex=20minx+5=25min



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