Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
stupidinmath
Group Title
A cold water faucet could fill the sink in 15 minutes and a hot water faucet can fill it in 12 minutes. the drain can empty the sick in 25 minutes. if both faucets are open and the drain is open, how long will it take to fill the sink?
 one year ago
 one year ago
stupidinmath Group Title
A cold water faucet could fill the sink in 15 minutes and a hot water faucet can fill it in 12 minutes. the drain can empty the sick in 25 minutes. if both faucets are open and the drain is open, how long will it take to fill the sink?
 one year ago
 one year ago

This Question is Closed

amistre64 Group TitleBest ResponseYou've already chosen the best response.2
in  out = whats left
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.2
its best to define the rates in terms of a single time frame, such as a minute
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.2
15 minutes = 1 sink full; divide each side by 15 1 minute = 1/15 of a sink full and for the other one 25 minutes = 1 sink full; divide each side by 25 1 minute = 1/25 of a sink full so the total amount in is 1/15 + 1/25 each minute; can you determine the amount that is drained per minute?
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.2
pfft, my second ine IS the drain, can you do the other faucet?
 one year ago

stupidinmath Group TitleBest ResponseYou've already chosen the best response.0
@amistre64 so, \[1/15 + 1/25 = 1\]
 one year ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
following from what amistre said, if t = time to fill the tank when drain is closed nd t20 taps are open then 1/15 + 1/12 = 1/t solve for t
 one year ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
* when 2 taps are open
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.2
almost, but first we need to determine how much "work" is done in a normalized time frame. Hot + Cold  Drain = Amount left to play with
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.2
1/15 + 1/12  1/25 takes care of the ins and outs
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.2
spose 1/15 + 1/12  1/25 = a/b this tells us that: a/b of the sink is filled in 1 minute; multiply each side by b/a to get 1 sink is filled in b/a minutes
 one year ago

stupidinmath Group TitleBest ResponseYou've already chosen the best response.0
13b/300a = 1
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.2
1/15 + 1/12  1/25 = 11/100 so, 11/100 of the the sink fills in 1 minute; multiply each side by 100/11 to determine the number of minutes it takes to fill 1 sinnk 11/100 sink : 1 minute 1 sink : 100/11 minutes
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.