SOLUTION: Anika and Jazlyn can finish cleaning the house in 2 hours. If it takes Anika working alone 3 hours longer than it takes Jazlyn working alone, how many hours will each girls finis

Question 979822: Anika and Jazlyn can finish cleaning the house in 2 hours. If
it takes Anika working alone 3 hours longer than it takes
Jazlyn working alone, how many hours will each girls finish
the work alone?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
Basic uniform rates relationship, RT=W, for rate, time, amount of work or task.

PERSON___________________WORK RATE in JOBS/HOURS
Anika____________________
Jazlyn___________________
Combined_________________

Two agents working on the same task simultaneously do so at the sum of their individual rates.

The rest to do is just arithmetic.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Their rate working together:
[ 1 house cleaned ] / [ 2 hrs ]
--------------------------
Let = Jazlyn's time working alone in hrs
= Anika's time working alone in hrs
------------------------------------------
Jazlyn's rate:
[ 1 house cleaned ] / [ t hrs ]
Anika's rate:
[ 1 house cleaned ] / [ t +3 hrs ]
-----------------------------
Add their rates of cleaning to
get their rate cleaning together

Multiply both sides by

( time must be positive )
and

---------------
Jazlyn's time working alone is 3 hrs
Anika's time working alone is 6 hrs
------------
check:

OK
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