There are two vessels A and B. Vessel A conta | vedclass

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Question

(B) Initially:Milk in Vessel $A = 40$ litresWater in Vessel $B = 22$ litresAfter the first operation (transferring $8$ litres of milk from $A$ to $B$)

Vedclass · Accepted Answer

$21:11$

Vedclass · Answer

(B) Initially:Milk in Vessel $A = 40$ litresWater in Vessel $B = 22$ litresAfter the first operation (transferring $8$ litres of milk from $A$ to $B$):Milk in Vessel $A = 40 - 8 = 32$ litresMilk in Vessel $B = 8$ litresWater in Vessel $B = 22$ litresTotal mixture in Vessel $B = 8 + 22 = 30$ litresAfter the second operation (transferring $6$ litres of mixture from $B$ to $A$):The fraction of mixture taken out is $\frac{6}{30} = \frac{1}{5}$.Amount of milk taken out from $B = \frac{1}{5} 	imes 8 = \frac{8}{5}$ litres.Amount of water taken out from $B = \frac{1}{5} 	imes 22 = \frac{22}{5}$ litres.Final quantity of milk in Vessel $A = 32 + \frac{8}{5} = \frac{160 + 8}{5} = \frac{168}{5}$ litres.Final quantity of water in Vessel $B = 22 - \frac{22}{5} = \frac{110 - 22}{5} = \frac{88}{5}$ litres.Required ratio = $\frac{168}{5} : \frac{88}{5} = 168 : 88 = 21 : 11$.

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