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Question:

Water in a canal, 6m wide and 1.5m deep, is flowing with a speed of 10km/h. How much area will it irrigate in 30 minutes, if 8cm of standing water is needed?

Solution:

Breadth of a canal, b = 6 m
Height, h = 1.5 m
Speed of water = 10 km/hr
Quantity of water = 8 cm
Quantity of water flowing in 30 minutes?
Volume of water flowing in 60 minutes,= (10 x 1000) x 6 x 1.5 cm³ (≈Speed = 10 km/hr; 10 x 1000 m/hr)
Volume of water flowing in 30 minutes,= 1000 × 9 × 30/60 m³
≈Let the area of land be 'x' sq. m.
≈x × 8/100 = 45000 (≈8cm = 8/100m)
x = 4500000/8
x = 562500 sq.m.
x = 562500/10000 Hectare
x = 562500 sq.m.