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.
Last updated date: 20th Mar 2023
•
Total views: 308.7k
•
Views today: 3.87k
Answer
308.7k+ 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.
Recently Updated Pages
If a spring has a period T and is cut into the n equal class 11 physics CBSE

A planet moves around the sun in nearly circular orbit class 11 physics CBSE

In any triangle AB2 BC4 CA3 and D is the midpoint of class 11 maths JEE_Main

In a Delta ABC 2asin dfracAB+C2 is equal to IIT Screening class 11 maths JEE_Main

If in aDelta ABCangle A 45circ angle C 60circ then class 11 maths JEE_Main

If in a triangle rmABC side a sqrt 3 + 1rmcm and angle class 11 maths JEE_Main

Trending doubts
Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write a letter to the principal requesting him to grant class 10 english CBSE

List out three methods of soil conservation

Epipetalous and syngenesious stamens occur in aSolanaceae class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

A Short Paragraph on our Country India
