5. A water tank has 3 inlets. Inlet A alone can fill the tank in 30 mi

1.	5. A water tank has 3 inlets. Inlet A alone can fill the tank in 30 minutes. Inlet B can fill it in 40 minutes.Inlet C can fill t in 60 minutes. If all the 3 inlets are opened together, how long will it take to fil3 inlets are opened together, how long will it take to fill thetank?
Answer» Let t = the time to the fill the tank t/30 + t/40 + t/60= 1 40X60t +30X60t +30X40t = 30X40X60 24t.+18t + 12t = 120X6 4t+ 3t + 2t = 120 9t= 120 t =120/9 t =13 minutes and 3/9*60 = 13minutes and 20 seconds but the ans is 4 hours 30 minutes

5. A water tank has 3 inlets. Inlet A alone can fill the tank in 30 minutes. Inlet B can fill it in 40 minutes.Inlet C can fill t in 60 minutes. If all the 3 inlets are opened together, how long will it take to fil3 inlets are opened together, how long will it take to fill thetank?

Answer»

Let t = the time to the fill the tank

t/30 + t/40 + t/60= 1

40X60t +30X60t +30X40t = 30X40X60

24t.+18t + 12t = 120X6

4t+ 3t + 2t = 120

9t= 120

t =120/9

t =13 minutes and 3/9*60

= 13minutes and 20 seconds

but the ans is 4 hours 30 minutes