A rectangular glass tank has a length of 40 centimeters and a width of 25 centimeters. Initially, the tank contains water with a height of 20 centimeters. When a solid object is fully submerged in the tank, the water level rises to 23 centimeters. If it takes 5 hours to fill the tank by 10 centimeters without the solid object, what is the rate of water flow into the tank in liters per hour? Let's think step by step and output the final answer within \boxed{}.
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