Together 4158

Daniela and Michal would dig potatoes together in 7.5 hours. But if Daniela worked alone, it would take her 2.5 hours more than Michal. Find how much Michal would do and how much Daniela would do the work himself.

Correct answer:

d =  1.1465 h
m =  -1.3535 h

Step-by-step explanation:

d = m+2.5 7.5 (1/m+1/d) = 1 m+(m+2.5)=m (m+2.5)/7.5  m+(m+2.5)=m (m+2.5)/7.5 0.13333333333333m2+1.667m+2.5=0 0.13333333333333m21.667m2.5=0  a=0.133333;b=1.667;c=2.5 D=b24ac=1.667240.133333(2.5)=4.1111111111 D>0  m1,2=2ab±D=0.2666671.67±4.11 m1,2=6.25±7.603453 m1=13.853453163 m2=1.353453163  d=2.5+m2=2.5+(1.3535)=1.1465 h

Our quadratic equation calculator calculates it.

m=m2=(1.3535)=1.3535 h



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