Question
Tap ‘A’ and tap ‘B’ can fill a tank in 32 hours
and 24 hours, respectively. If both taps are opened together, then find the time after which tap ‘A’ must be closed so the whole tank can be filled in 15 hours.Solution
Let total capacity of the tank is 96 litres (LCM of 32 and 24) Quantity of water filled by tap ‘A’ in one hour = 96/32 = 3 litres Quantity of water filled by tap ‘B’ in one hour = 96/24 = 4 litres Let tap ‘A’ is closed after ‘x’ hours So, 7 × x + 4 × (15 – x) = 96 Or, 3x = 36 Or, x = 12 hours
An 800 ml mixture consists of 60% milk. After adding ‘x’ ml of milk and ‘2x’ ml of honey, the milk-to-honey ratio changes to 9:10. Determine the...
A certain mixture ‘B’ contains juice and soda in the ratio 3:2 respectively. If 9 litres of juice and 6 litres of ...
A 20 L solution contains 30% sugar. How much water should be added to make the sugar 20% of the new solution?
A Bartender prepares a drink mixture containing 90 ml of pure alcohol and 10 ml of vodka. He realizes that he can add more vodka to the mixture without ...
A mixture contains 40 liters of milk and 60 liters of water. If 20 liters of the mixture are taken out and replaced by water, what is the percentage of ...
A milkman mixed milk and water in an empty container in the ratio 13:9. The quantity of milk mixed was bought by the milkman at the rate of Rs. 44/litre...
A shopkeeper mixes two types of rice, one costing ₹40/kg and the other ₹60/kg, in a ratio of 2:3. He sells the mixture at ₹55/kg. Find his profit ...
In mixture 'X,' there are (4a + 20) liters of Juice and the remaining 20% consists of Soda.When mixture 'X' is combined with mixture 'Y,' which contains...
A vessel is completely filled with milk. If 46% of the milk is replaced with water then only 135 ml of milk will be left in the vessel. What is the tota...
- Mixture ‘X’ has milk and water in the ratio 7:5. Mixture ‘Y’ has milk and water in the ratio 3:2. If 60 litres of ‘X’ and 75 litres of ‘Y’ ...
Relevant for Exams:
