Three 222

Three tractor drivers working on a private farm together plowed 24 hectares of land in a shift. The first drive played half the second, and the second 4 hectares more than the third. Calculate the number of hectares plowed by the first, second and third.

Final Answer:

a =  5.6 ha
b =  11.2 ha
c =  7.2 ha

Step-by-step explanation:

$$\begin{gathered} a+b+c=24 \\ a=b/2 \\ b=4+c \\ a+2a+(b-4)=24 \\ a+2a+(2a-4)=24 \\ a+2\cdot a+(2\cdot a-4)=24 \\ 5a=28 \\ a=\frac{28}{5}=5.6 \\ a=\frac{28}{5}=5.6=5.6\text{ha} \end{gathered}$$

$b=2\cdot a=2\cdot 5.6=11.2\text{ha}$

$c=b-4=11.2-4=7.2\text{ha}$

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