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Question
Water in a river 6m wide and 1.5m deep flows with a speed of 10km/hr. How much area will it irrigate in half an hour if 8cm of standing water is needed?
\( Use ~ 10,000m^2 = 1 Hectare \)
Water in a river 6m wide and 1.5m deep flows with a speed of 10km/hr. How much area will it irrigate in half an hour if 8cm of standing water is needed?
\( Use ~ 10,000m^2 = 1 Hectare \)
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Solution
Volume of water coming out of 6m wide and 1.5m deep canal in 1 hour at a speed of 10,000m/hr
= 6 × 1.5 × 10,000 = 90,000\(m^3\)
Hence the volume of water coming out in half an hour is = 90,000 × 1/2 = 45,000 \(m^3\)
Let the irrigated area be a \(m^2\)
Standing height of water = 0.08 \(\times\) a = 45000
a = 562500 \(m^2\)
1 Hectare = 10,000 \(m^2\)
So, a = \(\frac{562500}{10000}\)
= 56.25 hectare
Volume of water coming out of 6m wide and 1.5m deep canal in 1 hour at a speed of 10,000m/hr
= 6 × 1.5 × 10,000 = 90,000\(m^3\)
Hence the volume of water coming out in half an hour is = 90,000 × 1/2 = 45,000 \(m^3\)
Let the irrigated area be a \(m^2\)
Standing height of water = 0.08 \(\times\) a = 45000
a = 562500 \(m^2\)
1 Hectare = 10,000 \(m^2\)
So, a = \(\frac{562500}{10000}\)
= 56.25 hectare
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