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Train X, running at 108 km/hr, crosses a platform whose length is 2/3 of its own length in 40 seconds. Find the time taken by Train X to cross Train Y, whose length is 4/3 times the length of Train X and which is running at 72 km/hr in the same direction.

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Aditya spends 35% of his monthly salary on rent and 25% on food. From the remaining amount, he gives money to his father and mother in the ratio of 7 : 5. If the difference between the amounts given to his father and mother is Rs. 8000, find Aditya’s monthly salary.

The sum of the breadth of a rectangle and the side of a square is 34 meters. If the perimeter of the rectangle is 72 meters and the length of the rectangle is 22 meters, find the side of the square.

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Pipe P can fill 25% of a tank in 5 hours, and pipe Q can fill 30% of the tank in 6 hours. Pipe R is an outlet pipe and can empty the full tank in 50 hours. If the tank is already 60% filled, find the time taken by all three pipes together to fill the remaining part of the tank.

A boat covers 120 km downstream in m hours and 144 km upstream in (m + 4) hours. The ratio of the speed of the boat in still water to its downstream speed is 5:6. Find the time taken by the boat to cover 48 km downstream and 48 km upstream.

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