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 8m of standing water is needed?

Answer 1

Hii mate ☺

Answer:

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 it helps you ☺✌✌

Answer 2

Solution :

Correction :

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 8 cm  of standing water is needed?

Find length of the  canal in 1 minute

We have given ,

Length of canal in one hour = 10 km

1 hour consist of 60 minutes

⇒ Length of canal in 60 minutes = 10 km

⇒ Length of canal in one minute = 1/60 * 10 km

Find length of the canal in 30 minutes

Similarly ,

It is 30/60 * 10 km

⇒ 5 km

⇒ 5 * 1000

⇒ 5000

Find volume of the canal which is in Cuboidal  shape

Volume of Cuboid = Length * Breadth * Height

⇒ 5000 * 6 * 1.5 m^3

Volume of Canal = Volume  of water irrigated

Volume of water irrigated = Area irrigated * Height

⇒ 5000 * 6 * 1.5 m^3 = Area irrigated * 8 cm

⇒  5000 * 6 * 1.5 m^3 = Area irrigated * 8/100 m

⇒( 5000 * 6 * 1.5 * 100)/(8 )

⇒ 562500 m^2

Conversion of the m^2 into hectares

⇒ Area irrigated = 562500/10000 hectares

⇒ Area irrigated = 56.25 hectares

Answer :

Water in a canal 6m wide and 1.5m deep is flowing with a speed of 10km/h. 56.25 hectares area will it irrigate in 30 minutes if 8 cm of Standing water is needed .