two tanks are of the same capacity when fully filled tank a empty in 3 hours while can tank b empty in 5 hours when will the water level in one tank be twice the water level in the other tank class 8
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Let height of water level in each tank be x cm.
Tank A is completely filled,
Now, some water is poured from tank A to tank B
∴ Volume of remaining water in tank A = 15×15×x cubic.cm
Now, volume of water in tank B = 25×11×x cubic.cm
Volume of tank A = Volume of remaining water in tank A + volume of water in tank B
15×15×20 =(15×15×x)+(25×11×x)
∴ 4500=225x+275x
∴ 500x=4500
∴ x=9 cm
∴ Height of water level in each tank is 9 cm.
Tank A is completely filled,
Now, some water is poured from tank A to tank B
∴ Volume of remaining water in tank A = 15×15×x cubic.cm
Now, volume of water in tank B = 25×11×x cubic.cm
Volume of tank A = Volume of remaining water in tank A + volume of water in tank B
15×15×20 =(15×15×x)+(25×11×x)
∴ 4500=225x+275x
∴ 500x=4500
∴ x=9 cm
∴ Height of water level in each tank is 9 cm.
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