Question

. Two pipes running together can fill a tank
inutes. If one pipe takes 5 minutes more
than the other to fill the tank separately. Find the time in which each pipe would fill the
tank separately.

Answer 1

Step-by-step explanation:

Let the time taken by 1 pipe a be x

then pipe taken by 2nd pipe b =x+5

time taken by both pipe together 11 1/9 or 100/9

1/a+1/b=1/t

1/x+1/(x+5)=9/100

(x+5+x)/x(x+5)=100/9

100(2x+5)=9(x2+5x)

200x+500=9x2+45x

9x2-155x-500=0

9x2-180x+25x-500=0

9x(x-20)+25(x-20)=0

(x-20)(9x+25)=0

since time cannot be negative

x=20min

x+5=25min