Left on together, the cold and hot water faucets of a certain buthtub take 7 minutes to fill the tub. If it takes the cold water faucet 17 minutes to fill the tub by itself, how long will it take the hot water faucet to fill the tub on its own?
A simple google search could've helped you quicker but:
7t+119/17t = 1
7t + 119 = 17t | *17t
119 = 17t - 7t = 10t
t = 11.9
+128475 The portion of the tub filled by the coldwater faucet every minute = 1/17
The portion of the tub filled by both faucets in one minute = 1/7
So....the portion of the tub filled by the hot water faucet in one minute =
1/7 - 1/17 =
[17 - 7 ] / [7 * 17] =
[10 ] / [ 119] (1)
To find out how long (in minutes) the hot water faucet alone takes to fil the tub.....take the reciprocal of (1) =
119 /10 =
11.9 min
