Question
A container has a mixture of two liquids, A and B, in
the ratio of 5:3. If 16 liters of the mixture are removed and replaced with 16 liters of liquid B, the ratio of liquids A and B becomes 3:5. Find the initial quantity of liquid A in the container.Solution
ATQ, Let the initial quantity of liquid A be 5x liters and liquid B be 3x liters. After removing 16 liters, 10 liters of A and 6 liters of B are removed. The remaining amounts are: Liquid A: 5x - 10 liters. Liquid B: 3x - 6 liters. After adding 16 liters of liquid B, the new amount of liquid B is 3x + 10 liters. Given the new ratio of A to B is 3:5: (5x - 10) / (3x + 10) = 3 / 5. Cross-multiplying and solving: 25x - 50 = 9x + 30, 16x = 80, so x = 5. Thus, the initial quantity of liquid A is 5 × 5 = 25 liters.
Train P travelling at 66 km/hr crosses another train Q, having three fourth of its length and travelling in opposite direction at 42 km/hr in 28 seconds...
A 150 m long train crosses another 270 m long train running in the opposite direction in 14 seconds. If the shorter train crosses a pole in 12 seconds, ...
A train can cross a pole, a bridge of 600 meter long and platform of 480 meter long in 14 seconds, _____ seconds and 30 seconds, respectively.
Th...
1260 metres long train crosses a man who is moving in the same direction with a certain speed in 30 seconds. If the same train can cross a pole in 21 se...
Train 'M' takes 2 hours less than Train 'N' to travel a distance of 150 km. The speed of Train 'M' is 20 km/h more than that of Train 'N'. What is the t...
Two trains approach each other at 20 kmph and 25 kmph from 2 places 225 km apart. After how many hours they will meet?
A 240 m long train crosses a platform twice its length in 3 min. Find the speed of the train.
A 440 m long train crosses a platform twice its length in 2 min. Find the speed of the train.
Two trains A and B, were proceeding in the same direction on parallel tracks at 26 km/hr and 80 km/hr respectively. A man noticed that it took exactly 1...
Distance between two stations ‘P’ and ‘Q’ is 620 km. Train A starts from ‘P’ at 8:30 a.m. with the speed of 32 km/hr. and train B starts fro...