A person travels frac{1}{3} of his journey by | vedclass

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Question

Let $'S'$ be the total distance travelled.

Time taken for $1^{st}$ $\frac{1}{3}$$^{rd}$ of journey $=\frac{S / 3}{60}=\frac{S}{180}$ hour.

Vedclass · Accepted Answer

$20$

Vedclass · Answer

Let $'S'$ be the total distance travelled.

Time taken for $1^{st}$ $\frac{1}{3}$$^{rd}$ of journey $=\frac{S / 3}{60}=\frac{S}{180}$ hour.

Time taken for $2^{st}$ $\frac{1}{3}$$^{rd}$ of journey $=\frac{S / 3}{30}=\frac{S}{90}$ hour.

Time taken for $3^{st}$ $\frac{1}{3}$$^{rd}$ of journey $=\frac{S / 3}{10}=\frac{S}{30}$ hour.

Average speed $=\frac{	ext { Total distance travelled }}{	ext { Total time taken }}$

$=\frac{5}{\frac{S}{180}+\frac{S}{90}+\frac{S}{30}}$

$=\frac{5}{5\left(\frac{1}{180}+\frac{1}{90}+\frac{1}{30}ight)}$

$=\frac{180 	imes 90 	imes 30}{90 	imes 30+180 	imes 30+180 	imes 90}$

$=\frac{180 	imes 9 	imes 3}{27+54+162}$

$=\frac{180}{1+2+6}$

$=20\, km / hr$

A person travels $\frac{1}{3}$ of his journey by bus at $60\, km / h$ , $\frac{1}{3}$ by scooter at $30\, km / h$ and the rest by walking at $10 \,km / h$. Find his average speed for the whole journey. (in $km/h$)

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