SOLUTION: Tom can whitewash 2/3 of Aunt Polly's fence in 3 hours. Huck can whitewash 1/3 of the fence in 2 hours. If they work together, a) exactly how long will it take Tom and Huck to whit

Question 1006472: Tom can whitewash 2/3 of Aunt Polly's fence in 3 hours. Huck can whitewash 1/3 of the fence in 2 hours. If they work together, a) exactly how long will it take Tom and Huck to whitewash Aunt Polly's fence? b) What portion of the fence will Huck have whitewashed?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
FENCE per HOUR is the rate unit

Sum of individual rates is their combined rate.
, this combined rate.

, FENCE per HOUR.
This is .
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Tom's rate of working is:
[ 2/3 of fence painted ] / [ 3 hrs ]

-------------------
Huck's rate of working is:
[ 1/3 of fence painted ] / [ 2 hrs ]

-----------------
Add their rates of painting to get
their rate of painting together
------------------------
Let = time in hrs for them
to paint fence working together
[ 1 fence painted ] / [ t hrs ] is their
rate working together
--------------------------

Multiply both sides by

hrs
This is about 2 hrs 34 min
----------------------
The portion that Huck paints is:
[ his rate ] x [ time spent painting ]

-----------------------
check answer:

OK
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