Pump A can fill a pool in 12 hours and Pump B in 6 hours. However there is a leak in the pool and a full pool will empty out in 24 hours. How long would it take to fill the pool if pump A and Pump B work and the LEAK WAS STILL PRESENT . Answer pleaseeee .. ASAP Thanks :)

Question

jack1 · Answer

Assume pool = 1000L
how many L per hr is pump A pumping? @trix16 ?

jack1 · Answer

...@trix16 ... u there bro?

anonymous · Answer

There's no liters indicated in the problem just the time

jack1 · Answer

hence "assume"

jack1 · Answer

you can assume it's only a 1L pool if you want
or we can just work it out as fractions
but easier mental exercise if we assume 1000L and just go through it piece at a time

jack1 · Answer

so assuming a 1000L pool: 
incoming = Pump A  = _______ L/hr
                  + Pump B  = _______ L/hr
                 
= Total L incoming/hr

outgoing = _______L/hr

= Total L outgoing/hr 

Following ok so far dude? @trix16 ?

jack1 · Answer

difference between incoming and outgoing = how fast the pool is filling
 volume/speed = time

jack1 · Answer

all make sense?

anonymous · Answer

So what's the answer?

jack1 · Answer

u tell me and i'll tell u if you're right
i gave you the solution above...

jack1 · Answer

the goal here is for you to understand, so you can work these type of questions out, ...not to give you the answer to a specific question and wait so we can then give you the answer to your next question

anonymous · Answer

Wait, i will solve for it

anonymous · Answer

4 Hours @Jack1 ?

jack1 · Answer

close, but no, how did u arrive at that?

anonymous · Answer

Wait, 20 hours?

jack1 · Answer

no

jack1 · Answer

assume 1000L
Pump A can pump 1000L in 12 hrs
1000L/12 hrs  = 83.33L/hr

Pump B can pump 1000L in 6 hrs
1000L/6 hrs = 166.6L/hr

jack1 · Answer

pool is leaking at 1000L every 24hrs
1000L / 24hrs = 41.66L/hr

jack1 · Answer

so total outgoing = 41.66L/hr
total incoming = 83.33+166.66 = 250L/hr

jack1 · Answer

difference between incoming and outgoing = how fast the pool is filling
incoming - outgoing = speed pool is filling
250 - 41.66 = 208.33L/hr = how fast the pool is filling

jack1 · Answer

volume/speed = time
Volume of pool/ speed of overall flow = time to fill pool
1000L / 208.33 = ___hrs = answer

jack1 · Answer

can u get it from here dude?

anonymous · Answer

Yes, yes :)

jack1 · Answer

sweet, seeya

anonymous · Answer

Thanks :) @jack1

jack1 · Answer

all good dude @trix16 ;)