Question

A water tank has two inlets and one outlet. if the inlets fill the tank in 30 and 45 minutes respectively and the outlet empties it in 30 minutes, how much time will it take to fill the tank if all the inlets and outlets are open


Answer:45 mints please e plain in steps

Answer 1

Answer:

Step-by-step explanation:

A=30

B=45

C=(-)30

LCM of 30,45,30= 180

A fills in 1 hour = 180/30 = 6L

B " " " "" " " = 180/45 = 4L

C empeties in 1 hour = 180/30 = 6L

A+B+C = 6+4-6 = 4L

Time taken = 180/4 = 45 min

Answer 2

Answer:

45 minutes

Step-by-step explanation:

let say inlet 1 as A , 2 as B and 3 as C

Take the LCM of 30 , 45, and -30

i,e = 180

so litres inlet 1 will fill = 180/30

= 6 litres

litres second inlet will fill = 180/40

= 4 litres

litres outlet will empty = 180 /30

= 6 litres

so if all open at once i,e

A+B-C = 6l + 4l + 6l = 4 litres

therefore time taken = 180/4

= 45 minutes