Two masons

Two masons built the garage together - it took 18 days. If they worked independently, the other would work 15 days more than the first. For how many days would build the garage each mason himhelp?

Correct result:

x =  30
y =  45

Solution:

1x+1y=118 y=x+15  1x+1x+15=118  18(2x+15)=x(x+15) x221x270=0  a=1;b=21;c=270 D=b24ac=21241(270)=1521 D>0  x1,2=b±D2a=21±15212 x1,2=21±392 x1,2=10.5±19.5 x1=30 x2=9   Factored form of the equation:  (x30)(x+9)=0  x>0 x=30
y=x+15=45



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