Question

A woman travels $200$ km in $5$ hours in two parts. In the first part of the journey, she travels by car at a speed of $50$ km/hr. In the second part of the journey, she travels by bus at the speed of $30$ km/hr. How much distance did she travel by bus?

Answer 1

$200km$ $\to 5hours.$

Average speed $=\frac{200}{5}$ $=40$ km/hr.

$\therefore xkm\to 50km/hr$ & $(200-x)$ $\to 30km/hr$

$\therefore x\times 50+(200-x)\times 30=200$

$\frac{x}{50}+\frac{200-x}{30}=5hours$

$30x+(200-x)50=5\times 1500$

$3x+1000-5x=750$

$250=2x\Rightarrow x=125$

$\therefore$ By bus, it willtravel $=200-125$

$=75km$ distance