Answer: £ 81.38
Step-by-step explanation:
Given: On Monday,
5 builders took [tex]3\dfrac{1}{2}[/tex] hours ( i.e. [tex]\dfrac{7}{2}[/tex] hours ) to build a wall.
On Tuesday, only 2 builders were available.
As workers are inversely proportional to the time if the job remains constant.
Inverse variation equation : [tex]x_1y_1=x_2y_2[/tex]
Let x be the time taken by 2 builders, then
[tex]2\times x =5\times \dfrac{7}{2}[/tex]
[tex]\Rightarrow\ x=\dfrac{35}{2}\times\dfrac{1}{2}=\dfrac{35}{4}=8.75[/tex]
So, 2 builders will take 8.75 hours.
Each paid £9.30 for each hour.
Then, each builder will be paid for the work completed on Tuesday = £9.30 x 8.75
≈ £ 81.38
Hence, each builder will be paid £ 81.38 for the work completed on Tuesday .
