Question

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

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Answer 1

$\large{\underline{\sf{\blue{Given-}}}}$

$\begin{cases} \text{Wide \: Of \: Canal \: = \: 504m} \ \ \\{Depth \: Of \: Canal \: = \: 1.8m}\end{cases}$

$\large{\underline{\sf{\green{To \: Find-}}}}$

$\begin{cases} \text{Area \: Of \: Irrigation}\end{cases}$

$\large{\underline{\sf{\purple{Solution-}}}}$

$\sf{• \: Water \: is \: flowing \: with \: speed \: of \: 25km/h}$

$\sf{Thus,}$

$\sf{In \: 40 \: min, \: water \: will \: flow :}$

$\implies\sf{ \frac{25}{60} \times 40}$

$\large{\boxed{\sf{ \frac{50}{3}km}}}$

$\sf{As \: per \: Question,}$

$\boxed{\sf\red{volume \: of \: water \: in \: canal \: = \: volume \: of \: irrigation \: area}}$

$\sf{Hence,}$

$\boxed{\sf\green{★ \: volume \: of \: canal \: = \: l \times b \times h}}$

$\sf{Placing \: Values}$

$\implies\sf{504 \times 1.8 \times \frac{50000}{3 {m}^{3} }}$

$\sf{Required \: Area \: For \: Standing \: Water \: Is \: 10cm}$

$\implies\sf{ \frac{5000}{ \frac{50 \times 10}{100} } }$

$\implies\sf{5.4 \times 0.6 \times 500 \times 10}$

$\boxed{\sf\purple{★ 16200 {m}^{2} }}$

∴ $\large{\underline{\sf{\red{Area \: Of \: Irrigation \: Is \: 16200m²}}}}$

Answer 2

Step-by-step explanation:

Hope it helps you ❣️

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