Three pumps together

One pump fills the tank in 1.5 hours, the second in 2 hours, and the third in 3 hours 20 minutes. How many minutes will the tank fill with three pumps if they work simultaneously?

Correct answer:

t =  40.9091 min

Step-by-step explanation:

a=1.5 h min=1.5 60  min=90 min b=2 h min=2 60  min=120 min c=h2min(3+20/60)=200  s=a1+b1+c1=901+1201+2001=180020+180015+18009=180020+15+9=180044=450110.0244  t=1/s=1/45011=1:45011=1 11450=111 450=11450=11450 min=40.9091 min

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