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Water flows in a tank 150 m\ x\ 100 m...

Water flows in a tank `150 m\ x\ 100 m\ ` at the base, through a pipe whose cross-section is `2d m\ b y\ 1. 5 d m\ ` at the speed f `15\ k m\ p e r\ hou r` . In what time, will the water be `3\ m e t r e s\ d e e p ?`

Text Solution

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Length of the floor of the tank(l) = 150 m
Breadth of the floor of the tank (b) = 100 m
Depth of the water (h) = 3 m
`therefore` Volume of the water = lbh
`=150xx100xx3`
= 45000 cubic m.
Area of the cross-section of the pipe `=(2)/(10)xx(15)/(10)xx(1)/(10) sq. m " "(because 1 dcm =(1)/(10)m)`
`=(3)/(100)` sq m
Speed of water = 15 km/hr `= 15xx1000 m//hr`
Volume of water through the pipe in 1 hour `=(3)/(100)xx15xx1000=450`cubic m
`therefore` Time to flow 450 cubic m of water = 1 hour
Time to flow45000 cubic m of water `=(1)/(450)xx45000 = 100` hours
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