Work together

Michal and Dorota would do the work together in 2.25 hours. If Dorota had to do it herself, it would have taken her 6 hours longer than Michal. Determine the time that Dorota would do the work herself and the time that Michal would do it himself.

Correct answer:

d =  9 h
m =  3 h

Step-by-step explanation:

1/d+1/m=1/2.25 d=6+m 1/(6+m)+1/m=1/2.25 m+(6+m)=m(6+m)/2.25  m+(6+m)=m (6+m)/2.25 0.444444444444m20.667m+6=0 0.444444444444m2+0.667m6=0  a=0.444444444444;b=0.667;c=6 D=b24ac=0.667240.444444444444(6)=11.1111111111 D>0  m1,2=b±D2a=0.67±11.110.888888888889 m1,2=0.75±3.75 m1=3 m2=4.5   Factored form of the equation:  0.444444444444(m3)(m+4.5)=0  m>0 m=m1=3 d=6+m=6+3=9 h

Our quadratic equation calculator calculates it.

m=3 h



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