Work time

Danielle and Michael would dig potatoes together in 7.5 hours. But if Danielle worked alone, it would take her 2.5 hours more than Michael. Find how long it would take Michael alone and how long it would take Danielle alone.

Final 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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