SOLUTION: Tommy can paint a fence in 9 hours. If his friend Huck​ helps, they can paint the fence in 1 hour. How fast could Huck paint the fence by​ himself?

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Question 1064816: Tommy can paint a fence in 9 hours. If his friend Huck​ helps, they can paint the fence in 1 hour. How fast could Huck paint the fence by​ himself?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Their rate painting together is:
[ 1 fence painted ] / [ 1 hr ]
Tommy's rate painting alone is:
[ 1 fence painted ] / [ 9 hrs }
Let Huck's rate of painting =
[ 1 fence painted ] / [ t hrs ]
-------------------------------
Add their rates of painting to get their rate
painting together
+1%2F9+%2B+1%2Ft+=+1%2F1+
Multiply both sides by +9t+
+t+%2B+9+=+9t+
+8t+=+9+
+t+=+1.125+ hrs
convert hrs to min
+.125%2A60+=+7.5+
Convert min to sec
+.5%2A60+=+30+
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By himself, Huck can paint the fence in 1 hr 7 min 30 sec
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check:
+1%2F9+%2B+1%2Ft+=+1%2F1+
+1%2F9+%2B+1%2F%289%2F8%29+=+1%2F1+
+1%2F9+%2B+8%2F9+=+1+
+1+=+1+
OK