Question

on monday, it took 3 builders 5 1/2 hours to build a wall. an identical wall needs to be built on tuesday and 5 builders are available. each builder is paid £8.90 for each hour they work. work out how much each builder will be paid for the work completed on tuesday

Answer 1

Answer:

Step-by-step explanation:

When the number of builders is increased, the hours worked will be reduced.

So, this is inverse proportion.

Number of hours worked by  5 builders = $\frac{3*\frac{11}{2}}{5}$

                                                                  $=3*\frac{11}{2}*\frac{1}{5}\\\\=\frac{33}{10}\\\\=3\frac{1}{10}$

Amount received by each builder= 33/10 * 8.90

                                                       =    £ 29.37                                                    

Answer 2

Answer:

£29.37

Step-by-step explanation:

→ First step is to find the amount of hours it takes for 5 builders

$\frac{3*\frac{11}{2} }{5} =\frac{33}{2} /5=\frac{33}{2} *\frac{1}{5} =\frac{33}{10} =3\frac{3}{10}$

→ Now we know how long 5 builder takes we need to multiply the hourly rate by their time worked

$3\frac{3}{10} *8.90=\frac{33}{10} *8.90=3.3*8.90 = 29.37$