Question

Water in canal, 6m wide and 1.5m deep, is flowing with a speed of 10 km/hr. How much area will it irrigate in 30 minutes, if 8cm of standing water is needed

Answer 1

Breath =6
Speed of the cannal =10 km/hr

Height=1.5
1 hour= 10 km
60 min =10 km
1 min=1/60 ×10
30 min= 30/60×10=5 km
Ans= 5 km= 5000m

Answer 2

➲SOLUTION:-

➣For Canal

Width =6m

Depth =1.5m$\sf= \dfrac{15}{10}=\dfrac{3}{2}$

Speed of flow of water =10km/h

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀=10×1000m/h

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀=10000m/h

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$\bf =\dfrac{10000}{60}$ m/min

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$\bf =\dfrac{500}{3}$ m/min

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$\bf =\dfrac{500\times 30}{3}$ m/min

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$\bf= 5000$ m/30min

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➣Volume of water that flows in 30 minutes

⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$=\sf 6\times \dfrac{3}{2}\times 5000{m}^3$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀=45000m³

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➣The total area it will irrigate

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$\bf= \dfrac{45000}{\dfrac{8}{100}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$\bf=\dfrac{\cancel{4500000}}{\cancel{8}}$m²

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$\bf= 562500$ m²

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$\bf= \dfrac{562500}{10000}$ hectares

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$\boxed{\bf=56.25 hectare}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

•Hence, the required area is 56.25 hectare