Two pipes

One pipe fills one-fifth volume 20 minutes before my second one. The two pipes together will fill the tank in two hours. How long will fill the tank of each pipe separately?

Correct answer:

a =  200 min
b =  300 min

Step-by-step explanation:

t1=20 min t2=2 h min=2 60  min=120 min  a = bt1 5 t2 (1/a+1/b)=1  t2 (b+a)=ab  t2 ((a+t1 5)+a)=a (a+t1 5)  120 ((a+20 5)+a)=a (a+20 5) a2+140a+12000=0 a2140a12000=0  p=1;q=140;r=12000 D=q24pr=140241(12000)=67600 D>0  a1,2=2pq±D=2140±67600 a1,2=2140±260 a1,2=70±130 a1=200 a2=60  a=a1=200=200 min

Our quadratic equation calculator calculates it.

b=(a+t1 5)=(200+20 5)=300 min

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