A tank is 7 m long and 4 m wide. at what speed should water run through a pipe 5 cm broad and 4 cm deep so that in 6 hours and 18 minutes, the water level in the tank rises by 4.5 m?
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Volume of the water required for rising the water level by 4.5 metre
= 7 × 4 × 4.5 = 126 m3
Time in which the tank needs to be filled = 6 hours and 18 minutes
=
6
+
18
60
hr
=
6
+
3
10
hr
=
63
10
hr
Therefore, amount of water that needs to be supplied by the pipe in 1 hr
126
(
63
10
)
=
126
×
10
63
=
20
m3/hr
Area of the pipe = 5×4 = 20 cm2 = 0.002 m2
Required speed of the water =
20
0.002
= 10000 m/hr = 10 km/hr
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