Question 1035313
.
Haileys father can paint a house 1.5 times faster then Hailey can. they work together on one house and it takes them 14 hours. 
How many hours will it take Hailey to paint a house working alone 
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


<pre>
Let r be the Haileys rate of work, measured in job-per-hour.
Then Haileys father's rate of work is 1.5*r, measured in job-per-hour.

Their combined rate of work (when they are working together) is r + 1.5r = 2.5r.

From the condition, 2.5r = {{{1/14}}}.

Hence, r = {{{1/(2.5*14)}}} = {{{1/35}}}.

It means that it takes Haileys 35 hours to complete the job.

To solve this problem, you do not need to solve quadratic equations.
</pre>