Performance

Two masons with the same performance would have made of plaster for 6 days. One of them, however, has increased its daily performance by 50%. How long would take they now to make plaster together?

Result

t =  4 d

Solution:

a=2 6=12 d b=2 6=12 d b1=b50100 b=1250100 12=6 d  t=11/a+1/b1=11/12+1/6=4 da=2 \cdot \ 6=12 \ \text{d} \ \\ b=2 \cdot \ 6=12 \ \text{d} \ \\ b_{1}=b - \dfrac{ 50 }{ 100 } \cdot \ b=12 - \dfrac{ 50 }{ 100 } \cdot \ 12=6 \ \text{d} \ \\ \ \\ t=\dfrac{ 1 }{ 1/a + 1/b_{1} }=\dfrac{ 1 }{ 1/12 + 1/6 }=4 \ \text{d}



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