Given, Capacity of the tank = 500 litres
Initial mixture =500×
=150
Remaining capacity = 500 – 150 = 350
Ratio of milk and water in initial mixture = 8 : 7
Time taken by milk pipe to fill the tank = 24 hours
Time taken by water pipe to fill the tank = 36 hours
Calculation: Initial milk =
×150=80
Initial water = 150 – 80 = 70
Efficiency of milk pipe =
Efficiency of water pipe =
Time taken by milk and water pipe to fill completely =
= 10.08 hour
Value of milk in 10.08 hour =
×10.08 = 210 litres
Value of water in 10.08 hour =
×10.08 = 140 litre
Ratio of milk and water in full filled tank = (80 + 210) : (70 + 140) = 290 : 210
⇒ 29 : 21
∴ The new ratio of milk and water in full tank is 29 ∶ 21.