Q:

Ana and Bella are sisters.They are responsible for keeping thefamily's driveway clear of snow.If they work together they cancomplete the shoveling in 30 minutes.One day Ana had to do the job alone.It took her 40 minutes.How longwould it have taken Bella to shovel the same amont alone?You canassume that each girl always shovels at a constant speed.

Accepted Solution

A:
Answer: Bella can complete work alone in 120 minutes Step-by-step explanation:Ana and Bella together can  complete the shoveling in 30 minutes.They can do a part of work in 1 minute = [tex]\frac{1}{30}[/tex]Ana can do work alone in 40 minutes She can do part of work in 1 minute = [tex]\frac{1}{40}[/tex]So, Bella can do a part of work in 1  minute =  [tex]\frac{1}{30}-\frac{1}{40}[/tex]                                                                         =  [tex]\frac{1}{120}[/tex]Bella can do [tex]\frac{1}{120}[/tex] part of work in 1  minute Bella can do whole work in minutes = 120 Hence Bella can complete work alone in 120 minutes