Question

Rajesh commutes daily by traveling 4/5 of distance between his home and office by metro train,3/20 by auto and remaining 1 km on foot. What is distance between his home and office?

Answer 1

Here we have been given,

Distance covered by Rajesh through Metro = $\frac{4}{5}$

Distance covered through auto = $\frac{3}{20}$

Distance covered by foot = 1 km

Let total distance covered be x, then according to question

$\frac{4x}{5} + \frac{3x}{20} + 1 = x$

$\frac{16x + 3x + 20}{20} = x$

$16x + 3x + 20 = 20x$

$19x + 20 = 20x$

$20x - 19x = 20$

⇒ $x = 20$

distance between his home and office = 20km