Potatoes

Daniela and Michael would jointly dug potatoes for 7.5 hours. But if Daniela was working alone she would take 2.5 hours more as if he were working with Michael. Determine how much for the work done by Michael himself and how much Daniela herself.

Result

d =  10 h
m =  30 h

Solution:

d=7.5+2.5=10 hd=7.5+2.5=10 \ \text{h}
7.5(1/m+1/d)=1 1/m+1/d=1/7.5 1/m=1/30 m=30 h7.5 (1/m+1/d)=1 \ \\ 1/m+1/d=1/7.5 \ \\ 1/m=1/30 \ \\ m=30 \ \text{h}



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