Question

rajesh commutes daily by travelling 4/5 of the distance between his home and office by metro train,3/20 by auto and remaining 1km on foot .th​

Answer 1

Correct 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?

Solution:

Let the total distance travelled by Rajesh between home and office be "x" km:

So, distance travelled by metro = 4x/5 ,

Distance travelled by auto = 3x/20 ,

Distance travelled on foot = 1 km.

Now , all these distances together should give "x" km as the total distance:

$\rm \therefore \: \dfrac{4x}{5} + \dfrac{3x}{20} + 1 = x$

$\rm = > \: \dfrac{4x}{5} + \dfrac{3x}{20} - x = - 1$

$\rm = > \: \dfrac{16x + 3x - 20x}{20} = - 1$

$\rm = > \: \dfrac{ - x}{20} = - 1$

$\rm = > \: - x = - 20$

$\rm = > \: x = 20 \: km$

So, total distance travelled by Rajesh is 20 km.

Hope It Helps.