Question

Naomi paints 16.5 square feet of a mural at a rate of 2 square feet per hour clair paints 7.5 square feet of the mural at a rate of 4 square feet per hour if they continue at the same rates how many more hours will it take for naomi and clair to paint an equal number of square feet

Answer 1

Let the time taken for them to paint equal areas be xhrs.

The equations modelling the area painted by each is as follows :

Naomi:

A = 2x + 16.5

Clair :

A = 4x + 7.5

We want the value of x for which :

Naomi's area = Clair's area

This is :

2x + 16.5 = 4x + 7.5

4x - 2x = 16.5 -7.5

2x = 9

x = 4.5 hours

It will take them 4.5 hrs more.

Answer 2

Step-by-step explanation:

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