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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

User Vboctor
by
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1 Answer

4 votes

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 .

User Arunachalam K
by
6.4k points