“Work” Word Problem: Painting A House

painting house

 

 

 

 

 

 

It takes Janet 5 hours to paint a wall of a house.
Robert takes 7 hours to paint the same wall. If they work together, how long would it take paint the wall?

Janet’s Work Rate Is,

Capture1

 

 

Robert’s Work Rate Is,

Capture2

 

 

Working Together,

Capture3

 

 

 

 

Add their labor and set equal to 1/t,

Capture4

 

 

 

Multiply each term by the lowest common denominator,

Capture5

 

 

Capture6

 

 

Finally, solve for t,

Capture7

 

 

 

 

 

 

Or almost 3 hours!

 

IS YOUR CHILD STRUGGLING WITH MATH?

ARE YOU READY TO RECEIVE ONLINE PROFESSIONAL TUTORING FOR YOUR CHILD?

E-mail me at Tutors@mathhelp4u.com  to arrange FOR A FREE 15 MINUTE CONSULTATION.

 

Posted in Blog

Meet Your Tutor

Sergio Caveyo


Sergio is a fully credentialed California High School Math Teacher with 25 years of experience helping students excel at math and algebra concepts.