A motorcyclist drives from A to B with a unif | vedclass

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Question

(D) Let the distance between $A$ and $B$ be $x\, km$.Time taken to travel from $A$ to $B$ is $t_{1} = \frac{x}{30}\, h$.Time taken to travel from $B$

Vedclass · Accepted Answer

$24$

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(D) Let the distance between $A$ and $B$ be $x\, km$.Time taken to travel from $A$ to $B$ is $t_{1} = \frac{x}{30}\, h$.Time taken to travel from $B$ to $A$ is $t_{2} = \frac{x}{20}\, h$.Total distance covered $= x + x = 2x\, km$.Total time taken $= t_{1} + t_{2} = \frac{x}{30} + \frac{x}{20} = \frac{2x + 3x}{60} = \frac{5x}{60} = \frac{x}{12}\, h$.Average speed $= \frac{	ext{Total distance}}{	ext{Total time}} = \frac{2x}{x/12} = 2 	imes 12 = 24\, km\, h^{-1}$.

$A$ motorcyclist drives from $A$ to $B$ with a uniform speed of $30\, km\, h^{-1}$ and returns back with a speed of $20\, km\, h^{-1}$. Find its average speed (in $km\, h^{-1}$).

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