Question

A man while returning from his factory, travels 2/3 of the distance by bus, 3/4 of the rest partly by car and partly by foot. If he travels 2km on foot, find the distance covered by him.
A. 24km
B. 22km
C. 28km
D. 26km​

Answer 1

$\tt\huge\underline\green{\underbrace{Sensiblestar12}}$

$\sf\large\underline\green{Assume\: that}$

$\bf{\implies The\: total\: distance=x}$

$\sf\large\underline\green{Given:-}$

A man while returning from his factory, travels 2/3 of the distance by bus, 3/4 of the rest partly by car and partly by foot. If he travels 2km on foot.

$\sf\large\underline\green{Explanation:-}$

$\tt{\implies Bus\:_{(distance)}=Distance\:by\:_{(car)}}$

$\tt{\implies \dfrac{2x}{3} + 2 = \dfrac{3x}{4}}$

$\tt{\implies \dfrac{4x}{3} -\dfrac{2x}{3}= 2}$

$\tt{\implies \dfrac{9x - 8x}{12} = 2}$

$\tt{\implies \dfrac{x}{12} = 2}$

$\tt{\implies x=24km}$

$\bf\small\underline{Therefore,\: distance\: covered\:by\:him=24km}$