Question

On monday it took 5 builders to 3 1/2 hours to build a wall

on tuesday an identical wall was built but only 2 builders were available
each builder is paid £9.30 for each hour or part of and hour they work
work out how much each builder will be paid for the work completed on tuesday

Answer 1

Answer: £ 81.38

Explanation:

Given: On Monday,

5 builders took
`3(1)/(2)` hours ( i.e.
`(7)/(2)` 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 :
`x_1y_1=x_2y_2`

Let x be the time taken by 2 builders, then

`2* x =5* (7)/(2)`

`\Rightarrow\ x=(35)/(2)*(1)/(2)=(35)/(4)=8.75`

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 .