Question
A glass contains a mixture of rum and water in the ratio
of 2:5. The total volume of the mixture is 98 liters. If an additional 32 liters of rum is poured into the glass, what will be the new ratio of water to rum in the mixture?Solution
Quantity of rum in 98 litres of mixture = 2/7 x 98 = 28 litres
Quantity of water in 98 litres of mixture = 5/7 x 98 = 70 litres
Quantity of rum in the glass after adding 32 litres of rum = 28 + 32 = 60 litres
Required ratio = 70:60 = 7:6
Pipes ‘A’ and ‘B’ together can fill a tank in 18 hours, while pipe ‘B’ alone can fill it in 36 hours. If pipe ‘C’ takes 12 hours less th...
Tap A can fill a tank in 12 hours. Tap B can fill 20% part of the same tank in 3 hours, whereas Tap C can alone empty a tank in ‘x’ hours. 5/8 part ...
Inlet pipes 'A', 'B' fill a tank in 30 and 15 minutes respectively. Outlet pipe 'C' is 50% less efficient than A. ‘A’ and ‘C’ work for 15 minute...
A cistern has a leak that can empty it in 12 hours. A tap is turned on, which fills water at the rate of 15 liters per hour. Now, the cistern gets empti...
Pipes 'A', 'B', and 'C' working together can fill a tank in 4 hours, while pipes 'B' and 'C' together can fill the same tank in 2...
Pipe X and Y can fill a tank alone in 18 minutes and 24 minutes respectively. If all three pipes X, Y and Z together fill the tank in 8 minutes, find th...
Pipes P and Q alone can fill a tank in 6 hours and 3 hours respectively. When both pipes along with pipe R, an outlet pipe, are opened together, 2/5 of ...
If a tank can be filled by a tap in 12 hours, but due to an outlet, it actually takes 9 hours longer to fill the tank, find the duration in which the ou...
Two pipes A and B can fill a tank in 12 min., and 16 min, respectively. If both the pipes are opened simultaneously, after how much time A should be cl...
Pipe ‘A’ and pipe ‘B’ can fill a cistern in 15 minutes and 36 minutes respectively. Pipe ‘C’ alone can empty the cistern in 12 minutes. If a...