Question
The ratio of the milk to water in a mixture is 9:4. 39
litres of mixture is taken out and 13 litres of water is added to the remaining mixture. If in the resultant mixture the quantity of milk is double the quantity of water, then find the quantity of water in the initial mixture.Solution
Let the quantity of the milk in the initial mixture = 9x litres
The quantity of the water in the initial mixture = 4x litres
The quantity of the milk in 39 litres of mixture = (39 / 13) × 9 = 27 litres
The quantity of the water in 39 litres of mixture = (39 / 13) × 4 = 12 litres
According to the question,
(9x – 27) = 2 × (4x – 12 + 13)
9x – 27 = 2 × (4x + 1)
9x – 27 = 8x + 2
x = 29
The quantity of the water in the initial mixture = 4 × 29 = 116 litres
Pipe ‘A’ takes 50 hours to fill a tank. Pipe ‘B’ takes 100 hours to empty the same tank. If they are opened together, how long will it take to ...
Two pipes, A and B, can independently fill the tank in 15 minutes and 25 minutes respectively, while pipe C can empty 9 gallons from the tank in 3 minut...
Pipe A and B can fill a tank in 36 and 45 hours. Pipe C can empty the tank in ‘x’ hours. If all three are opened, the tank is filled in 60 hours. Fi...
Pipe ‘P’ alone can fill a tank in 12 hours. When pipe ‘P’ and ‘Q’ are opened together, they can fill 75% of the same tank in 9 hours. Find t...
Pipe 'A' alone takes 12 minutes to fill half the tank. Pipe 'B' is twice as efficient. What percentage of the tank is filled by both in 6 minutes?
Pipe A and Pipe B together can fill the tank in 15 hours. The capacity of the pipe A is 20% of the capacity of the pipe B. How much time will pipe B alo...
Pipes ‘A’ and ‘B’ can fill a tank in 6 hours and 8 hours, respectively and pipe ‘C’ can empty the full tank in 12 hours. All three pipes are...
Two pipes X and Y can fill a tank in 90 minutes and 60 minutes respectively. A third pipe Z can empty the tank in 2 hours 30 minutes. X is kept closed. ...
Two pipes M and N can fill a tank in 8 hours and 12 hours respectively. The pipes were opened together, but pipe N stopped working after sometime and t...
An inlet pipe can fill a tank in 10 hours, whereas an outlet pipe can empty the same tank in 25 hours. Find the time taken by two such inlet pipes and o...
