SOLUTION: Jessie and Mark are planning to paint a house together. Jessie thinks that if he works alone, it would take him 5 hours more than the time Mark takes a paint the entire house. work

Question 906861: Jessie and Mark are planning to paint a house together. Jessie thinks that if he works alone, it would take him 5 hours more than the time Mark takes a paint the entire house. working together, they can complete the job in 6 hours.
1. what equation represents the situation?
2. how long would it take Jessie and Mark if each work alone in painting the entire house?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Add their rates of working to get
their rate working together
----------
Jessie's rate:
( 1 house painted ) / ( his time to paint it )
Mark's rate:
( 1 house painted ) / ( his time to paint it )
Working together:
( 1 house painted ) / ( 6 hrs )
--------------------
Let = Mark's time in hrs to paint house
--------------------------

--------------------------
Multiply both sides by

( just by looking at it )

Time can't be negative, so

Jessie would take 15 hrs working alone
Mark would take 10 hrs working alone
-------------------
check:

OK
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