Work problem with pipes

I

idiot

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Jun 4, 2021
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Hose 1 can fill a bottle in 5 mins. Hose 2 can fill the same bottle in 7 mins. Hose 1 pours liquid in for 2 minutes, then Hose 2 begins to also pour water into the bottle.
3 mins after Hose 1 started filling the bottle, the bottle springs a leak. 4 mins after Hose 1 started pouring liquid, the bottle is filled and the hoses stop pouring.
In how many minutes will the leak fully drain the bottle?

If you can solve this you get a cookie?.
 
idiot said:
Hose 1 can fill a bottle in 5 mins. Hose 2 can fill the same bottle in 7 mins. Hose 1 pours liquid in for 2 minutes, then Hose 2 begins to also pour water into the bottle.
3 mins after Hose 1 started filling the bottle, the bottle springs a leak. 4 mins after Hose 1 started pouring liquid, the bottle is filled and the hoses stop pouring. In how many minutes will the leak fully drain the bottle? If you can solve this you get a cookie?.
Click to expand...
Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:


Please share your work/thoughts about this problem
 
idiot said:
Hose 1 can fill a bottle in 5 mins. Hose 2 can fill the same bottle in 7 mins. Hose 1 pours liquid in for 2 minutes, then Hose 2 begins to also pour water into the bottle.
3 mins after Hose 1 started filling the bottle, the bottle springs a leak. 4 mins after Hose 1 started pouring liquid, the bottle is filled and the hoses stop pouring.
In how many minutes will the leak fully drain the bottle?

If you can solve this you get a cookie?.
Click to expand...
The key to work problems is rate. In this case it's various bottles per min rates - 1st hose, 2nd hose, both hoses, the leak. Use hose rates to set up an equation to find the leak rate, then calculate the time in question.
And no, we get a cookie if you solve it after getting help.
 
No, no! lev888 is wrong. I solved the problem and I want my cookie!
Seriously, no one here is going to solve your problem on this forum as that will not help you. The helpers here prefer to help you solve your problem by giving you hints. First you need to show us your work so we have an idea of how you want to solve it and then we can start helping you.
 
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