tap supplies water at 20 degree centigrade and another tap at 80 degree centigrade than the amount of the hot water that should be mixed with cold water to get 36 litres of water at 45 degree centigrade
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Given :
Water at 20 degree centigrade and another tap water at 80 degree centigrade .
To find :
The amount of hot water that should be mixed with cold water to get 36 liters of water at 45 degree centigrade .
Solution :
Let amount of water of 20 degree centigrade be x .
Then , the amount of 80 degree centrigrade water will be ( 36 - x ) .
Now ,
36 * 45 = 20 * x + ( 36 - x ) * 80
=> 1620 = 20 * x + 2880 - 80 * x
=> 60 * x = 1260
=> x = 21
Amount of hot water = 36 - 21 = 15 litres
The amount of hot water that should be mixed with cold water to get 36 liters of water at 45 degree centigrade is 15 litres .
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