Boots

Master shoemaker has three apprentices. First do one pair of boots for two days, second for 1 day, third on 1.5 day. If they worked together, for how long it would take made a couple of boots?

Correct result:

x =  11.077 h

Solution:

 (1/2+1/1+1/1.5)(x/24)=1  (1/2+1/1+1/1.5) (x/24)=1  2.166667x=24  x=1441311.076923=11.077 h \ \\ (1/2+1/1+1/1.5)(x/24)=1 \ \\ \ \\ (1/2+1/1+1/1.5) \cdot \ (x/24)=1 \ \\ \ \\ 2.166667x=24 \ \\ \ \\ x=\dfrac{ 144 }{ 13 } \doteq 11.076923=11.077 \ \text{h}



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