Awinery 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?

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 =

time = 70 / 3 = 23.33

so time require is 23.33 hours

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answerscientific theory;