Simultaneously 81441

The tank is filled through three openings, A, B, and C. The simultaneously open inlets A and B are filled in 1 hour, inlets A and C in 45 minutes, and inlets B and C in 1.5 hours. How long would it take to fill each inlet separately?

Correct answer:

a =  1.2 h
b =  6 h
c =  2 h

Step-by-step explanation:

t1=1 h t2=0:45=0 hr 45 min =0+6045=0.75 hr=0.75 t3=1.5 h  1/a+1/b = 1/t1 1/a+1/c = 1/t2 1/b+1/c = 1/t3  A+B=1/t1 A+C=1/t2 B+C=1/t3 A+B=1/1 A+C=1/0.75 B+C=1/1.5  A+B=1 A+C=1.333333 B+C=0.666667  Row2Row1Row2 A+B=1 B+C=0.333 B+C=0.667  Row3+Row2Row3 A+B=1 B+C=0.333 2C=1  C=21=0.5 B=10.33333333C=10.333333330.5=0.16666667 A=1B=10.16666667=0.83333333  A=650.833333 B=610.166667 C=21=0.5  a=1/A=1/0.8333=56=1.2=1.2 h b=1/B=1/0.1667=6 c=1/C=1/0.5=2

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