Question

Water in a canal, 5.4m wide and 1.8 m deep, is flowing with a speed of 25km/he. How much area can it irrigate in 40 minutes if 10cm of standing water is required?

Answer 1

volume of water in 1 min is 4050
so,Area required is 16200m²

Answer 2

Given,

Breadth = 5.4 m

Height = 1.8 m

Speed of canal = 25 km/hr


Length of canal in 1 hour = 25 km

Length of canal in 60 minutes = 25 km

Length of canal in 1 min = 1/60 * 25

Length of canal in 40 min = 40/60 * 25

= 16.67 km

= 16670 m


Volume of canal = Length * Breadth * Height

= 16670 * 5.4 * 1.8 m³


Volume of water in canal = Volume of area irrigated

Volume of water in canal = Area irrigated * Height

16670 * 5.4 * 1.8 m³ = Area irrigated * 10 cm

16670 * 5.4 * 1.8 m³ = Area irrigated * 10/100 m

16670 * 5.4 * 1.8 * 100 / 10 = Area irrigated

Area irrigated = 1620324 m²

Area irrigated = 1620324/10000 hectares

= 162.0324 hectares Ans.

Ans.) 162.0324 hectares area can it irrigate.