# Water in a canal, 5.4 m wide and 1.8m deep, is flowing with a speed of 25 km/hour. How much area can it irrigate in 40 minutes, if 10 cm of standing water is required for irrigation.

Answer

Verified

364.8k+ views

Hint : Find the length of land the water covers in 40 minutes then calculate volume

We know width of canal = 5.4 m

And depth of canal = $1.8\,m$

It is given in the question that in \[60{\text{ }}min.\], \[25\,km\] of water flows through it.

So, in \[40{\text{ }}min\], The water will flow through the length,

\[\dfrac{{25}}{{60}}\, \times 40 = \dfrac{{50}}{3}\,km\]

$\dfrac{{50}}{3}\,km$ will be available for irrigation.

Hence, the volume of water in the canal = volume of land irrigated.

Volume of canal\[\; = l \times b \times h\]

\[ = 5.4 \times 1.8 \times \frac{{50000}}{3}\,{m^3}\]

Area of land irrigated if \[10\,cm\] standing water is required

\[ = 5.4 \times 1.8 \times \frac{{50000}}{3}\, \times \dfrac{1}{{0.1}}\,{m^2}\]

\[ = 16,20,000\,{m^2}\]

Hence the answer is \[16,20,000\,{m^2}\].

Note :- In this question we have calculated the volume of water that gets filled in 40 minutes then it is said that land is irrigated if there is 10 cm standing water. So we have divided the volume by 10 to get the required area of land that gets irrigated in 40 minutes.

We know width of canal = 5.4 m

And depth of canal = $1.8\,m$

It is given in the question that in \[60{\text{ }}min.\], \[25\,km\] of water flows through it.

So, in \[40{\text{ }}min\], The water will flow through the length,

\[\dfrac{{25}}{{60}}\, \times 40 = \dfrac{{50}}{3}\,km\]

$\dfrac{{50}}{3}\,km$ will be available for irrigation.

Hence, the volume of water in the canal = volume of land irrigated.

Volume of canal\[\; = l \times b \times h\]

\[ = 5.4 \times 1.8 \times \frac{{50000}}{3}\,{m^3}\]

Area of land irrigated if \[10\,cm\] standing water is required

\[ = 5.4 \times 1.8 \times \frac{{50000}}{3}\, \times \dfrac{1}{{0.1}}\,{m^2}\]

\[ = 16,20,000\,{m^2}\]

Hence the answer is \[16,20,000\,{m^2}\].

Note :- In this question we have calculated the volume of water that gets filled in 40 minutes then it is said that land is irrigated if there is 10 cm standing water. So we have divided the volume by 10 to get the required area of land that gets irrigated in 40 minutes.

Last updated date: 27th Sep 2023

â€¢

Total views: 364.8k

â€¢

Views today: 3.64k

Recently Updated Pages

What do you mean by public facilities

Please Write an Essay on Disaster Management

Paragraph on Friendship

Slogan on Noise Pollution

Disadvantages of Advertising

Prepare a Pocket Guide on First Aid for your School

Trending doubts

How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

The equation xxx + 2 is satisfied when x is equal to class 10 maths CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Drive an expression for the electric field due to an class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

What is the past tense of read class 10 english CBSE