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Question

Water in a canal, 30 dm wide and 12 dm deep, is flowing with a speed of 10 km/hour. How much area will it irrigate in 30 minutes, if 8 cm of standing water is required for irrigation.

A
220500 m2
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B
22500 m2
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C
220000 m2
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D
225000 m2
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Solution

The correct option is D 225000 m2
Given,
Width of the canal=30dm=300cm=3m
Depth of the canal=12dm=120cm=1.2m
Water is flowing with a speed of 10 km/hour.
length of water column formed in12hour
=12×10km
=5km
=5000m
Hence Volume of water column formed in12hour
=Volume of cuboid of length 5000m,width 3m and depth 1.2m
=5000×3×1.2m3
=18000m3
Let Am2 be the area irrigated in12hour then,
a×8=18000m3
a×8100m18000m3
a=225000m2
Hence the canal irrigates 225000m2area in12hour

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