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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

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 = $\frac{168}{5} : \frac{88}{5} = 168 : 88 = 21 : 11$.

Similar Questions

$A$ milk vendor has $2$ cans of milk. The first contains $25\%$ water and the rest milk. The second contains $50\%$ water. How much milk should he mix from each of the containers so as to get $12$ litres of milk such that the ratio of water to milk is $3:5$?

There are $3$ tubs which contain mixtures of milk and water in the ratios of $5:2, 4:3,$ and $3:1$ respectively. If the mixtures are poured into a single tub,find the ratio of milk to water.

$A$ barrel contains a mixture of wine and water in the ratio $3:1$. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes $1:1$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module