A river $3\ m$ deep and $40\ m$ wide is flowing at the rate of $2\ km$ per hour. How much water will fall into the sea in a minute?
Given:
A river $3\ m$ deep and $40\ m$ wide is flowing at the rate of $2\ km$ per hour.
To do:
We have to find the volume of water that will fall into the sea in a minute.
Solution:
Speed of water in a river $= 2\ km/hr$
Length of the flow of water in 1 minute $=\frac{2 \times 1000}{60}$
$=\frac{100}{3} \mathrm{~m}$
Breadth of the river $(b)=40 \mathrm{~m}$
Depth of the river $(h)=3 \mathrm{~m}$
Volume of the water $=l b h$
$=\frac{100}{3} \times 40 \times 3$
$=4000 \mathrm{~m}^{3}$
$=4000 \times 1000\ l$
$=4000000$ litres
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