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

Answer 1

$hey \: beauty \:$

Speed of flowing of water from canal is 10km/h , means length of water flows in 1 hour = 5 km , so length of water flows in 30 minutes = 5km

Now, volume of water flowing from canal = length of water flows in 30 minutes × breadth of canal × deep of canal

= 5000m × 6m × 1.5m = 45000 m³

Let area of field = x m²

Then, volume of water irrigates into the field = area of field × height of water during irrigation

= x m² × 8× 10⁻² m = 0.08x m³

Now, volume of water flowing from canal = volume of water in field

45000 m³ = 0.08x m³

x = 562500 m²

We know, 1 hectare = 10000 m²

So, area of field in hectare = 562500/10000 = 56.25 hectares

hope this helps you......^_-

Answer 2

Width-6m

Depth-1.5m

Speed-10km/h

Water flow in 30 minutes-10/2=5km=5000m

Volume of water flow in 30 minutes=6*1.5*5000=45000 cubic meter

Standing water depth-8 cm =0.08m

Irrigated area=45000/0.08=562500 cubic meter

=562500/10000=56.25 hectares