SOLUTION: Hi I am needing some help with this word problem please. A bathtub can be filled by the cold water facuet in 10 mins and by the hot water facuet in 12 mins. How long does it tak

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Hi I am needing some help with this word problem please. A bathtub can be filled by the cold water facuet in 10 mins and by the hot water facuet in 12 mins. How long does it tak      Log On

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Question 404875: Hi I am needing some help with this word problem please.
A bathtub can be filled by the cold water facuet in 10 mins and by the hot water facuet in 12 mins. How long does it take to fill the bath tub if both facuets are open? My email address is wa_emily@yahoo.com
Thank you so much
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You are adding rate:
(1 tub filled w/cold faucet)/(min to fill tub) + (1 tub filled w/hot faucet)/ (min to fill tub) = (1 tub filled)/(x min with both faucets open)
1%2F10+%2B+1%2F12+=+1%2Fx
Multiply both sides by 60x
6x+%2B+5x+=+60
11x+=+60
x+=+60%2F11 min