Water in a canal, 5.4 m wide and 1.8 m deep, is flowing with a speed of 25 km/hr .how much area can it irrigate in 40 mins, if 10 cm of standing water is required for irrigation?
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Given that
Breadth ( b ) = 5.4 m
Height ( h )= 1.8 m or depth.
Speed of water in canal = 25 km/hr
Which means,
Length of canal in 60 minutes = 25 km ( Because 1 hr = 60 min )
Length of canal in 1 min = 25/60
Length of canal in 40 min = 25/60 × 40
= 16.67 km (approx.) or,
= 16670 m
We know that volume of canal = l *b *h
= 16670 × 5.4 × 1.8 m
= 162032.4 metres
Height of standing water = 10 cm or 0.1 metres
Now,
Volume of water in canal = Volume of area irrigated
Volume of area irrigated = Area irrigated × height
162032.4 m = Area irrigated × 0.1
Area irrigated = 162032.4 / 0.1
= 1620324 m²
Breadth ( b ) = 5.4 m
Height ( h )= 1.8 m or depth.
Speed of water in canal = 25 km/hr
Which means,
Length of canal in 60 minutes = 25 km ( Because 1 hr = 60 min )
Length of canal in 1 min = 25/60
Length of canal in 40 min = 25/60 × 40
= 16.67 km (approx.) or,
= 16670 m
We know that volume of canal = l *b *h
= 16670 × 5.4 × 1.8 m
= 162032.4 metres
Height of standing water = 10 cm or 0.1 metres
Now,
Volume of water in canal = Volume of area irrigated
Volume of area irrigated = Area irrigated × height
162032.4 m = Area irrigated × 0.1
Area irrigated = 162032.4 / 0.1
= 1620324 m²
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