a tank is filled with the mixture of milk and water in the ratio of 3:2 up to 2/5 of its capacity. the tank has two inlet pipes i.e. milk and water inlets. milk and water pipe can fill an empty tank in 12 and 18 hours respectively. now both pipes are opened simultaneously and closed after the tank is completely filled then what is the ratio of milk and water in the full tank if it can accommodate 250litre?
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The initial amount of milk and water is :
The amount in the tank before is :
2/5 × 250 = 100 litres
The amount of water is :
2/5 × 100 = 40 litres
The amount of milk is :
100 - 40 = 60 litres
The remaining amount is :
250 - 100 = 150 litres
In 1 hr :
Water = 1/18 of 250 = 125/9
Milk = 1/12 of 250 = 125/6
In 1hr the total amount of milk and water is :
125/9 + 125/6 = (250 + 375) / 18 = 625/18 litres
To fill 150 litres it will take :
150 × 18/625 = 108/25 hrs
In 1 hr The amount of milk is = 125/6
How much water will be there in 108/25 hrs will.
108/25 × 125/6 = 5 × 18 = 90 litres
The amount of water is : 150 - 90 = 60litres
The total amount of %
Water = 60 + 40 = 100
Milk = 90 + 60 = 150
Milk : water = 150 : 100
= 3 : 2
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