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A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 7 ​hours, while the outlet pipe can empty it in 10 hours. How long will it take to fill the vat if both pipes are left​ open?

Respuesta :

Answer:

time require is 23.33 hours

Explanation:

given data

time t1 = 7 hours

time t2 = 10 hours

to find out

how long it take to fill vat if both pipe left open

solution

we consider here vat volume is v

so speed = volume / time    .................1

inlet speed  = v / 7                .................2

outlet speed =  v / 10            ..................3

so from equation 2 and 3

net speed is = v / 7  -  v / 10

net speed = 3 /70 × v

so here time is

time = v  / net speed

time = [tex]\frac{v}{\frac{3v}{70} }[/tex]

time = 70 / 3 = 23.33

so time require is 23.33 hours

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