SOLUTION: A faucet can fill a tub in 12 mins. The leaky drain can empty the tube in. 30 mins. If the faucet is on and the drain is leaking, how long would it take to fill the tub?
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-> SOLUTION: A faucet can fill a tub in 12 mins. The leaky drain can empty the tube in. 30 mins. If the faucet is on and the drain is leaking, how long would it take to fill the tub?
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Question 1134494: A faucet can fill a tub in 12 mins. The leaky drain can empty the tube in. 30 mins. If the faucet is on and the drain is leaking, how long would it take to fill the tub? Found 3 solutions by mathsolverplus, ankor@dixie-net.com, ikleyn:Answer by mathsolverplus(88) (Show Source):
You can put this solution on YOUR website! Let's see what happens under a minute.
Filling rate = 1/12min
Draining rate = - 1/30min
Together: 1/12-1/30 = 1/x, where x represents the time it takes to fill the tub.
It would take 20 minutes to fill the tub.
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You can put this solution on YOUR website! A faucet can fill a tub in 12 mins.
The leaky drain can empty the tube in. 30 mins.
If the faucet is on and the drain is leaking, how long would it take to fill the tub?
:
let t = time to fill the tub in these conditions
let the full tub = 1
:
A typical mixture problem - = 1
multiply equation by 60
60* - 60* = 60(1)
cancel the denominators
5t - 2t = 60
3t = 60
t = 60/3
t = 20 min to fill the tub