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  • Water flows in a tank 150 m *100 m at the base , through a pipe whose cross - section is 2 dm by 1.5 dm at the speed of 15 km per hour . In what time , will the water be 3 metres deep ?

Water flows in a tank 150 m *100 m at the base , through a pipe whose cross - section is 2 dm by 1.5 dm at the speed of 15 km per hour . In what time , will the water be 3 metres deep ?

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Solution: Suppose in x hours water will be 3 metres deep in the tank . 

Volume of water in the tank = (150 imes 100 imes 3)m^3= 45000m^3

                Area of the cross - section of the pipe   =    left ( frac210 imes frac1.510 ight )m^2=(frac15 imes frac15100)m^2=(frac3100)m^2

               Volume of water that flows in the tank in x hours = (Area of cross section of the pipe )  imes  (speed of water ) imes(time)

                =frac3100 imes 15000 imes x    m^3                                         [ecause speed  = 15km/hr=15000m/hr ]

                =450x  m^3 .

since the volume of water in the tank is equal to the volume of water that flows in the tank in x hours . 

herefore            450x= 45000Rightarrow x=100 hours .

Posted by

Deependra Verma

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