Rakhi travelled $4 x$ km distance by walk, $2 y$ km by cycle and $9 k m$ by bus. The total distance covered by Rakhi in an algebraic expression is _______ .

(x + y + 1) k m

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(4 x + 2 y + 9) k m

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(x - y + 2) k m

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(2 x + 3 y + 1) k m

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Solution

The correct option is D $(4 x + 2 y + 9) k m$
$\Rightarrow$ Rakhi traveled distance by walk = $4 x k m .$
$\Rightarrow$ Rakhi traveled distance by cycle = $2 y k m .$
$\Rightarrow$ Rakhi traveled distance by bus = $9 k m .$
$\Rightarrow$ Total distance covered by Rakhi = $4 x k m + 2 y k m + 9 k m$
$∴$ Total distance covered by Rakhi = $(4 x + 2 y + 9) k m$

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