Question

A man covered ¼ of his journey by train, 1/5 of his journey by car, 2/5 of journey by bus and the rest by foot. If he walked 12 km, what was the total distance of his journey?

Answer 1

Answer:

If a man covers 1/4, 1/5, and 2/5 of his journey by train, car, and bus respectively and the rest by foot and if he walked 12 km, then the total distance of his journey was 80 km

Step-by-step explanation:

Let us take S as the total distance of the journey

Given

The distance he traveled by train = 1/4 of S =S/4

The distance he traveled by car = 1/5 of S = S/5

The distance traveled by bus =2/5 of S = 2S/5

Distance traveled by foot = 12 km

So the total distance covered S $=\frac{S}{4} +\frac{S}{5} +\frac{2S}{5} +12$

$S= \frac{S}{4} +\frac{3S}{5} +12\\\\S=\frac{5S+12S}{20} +12\\\\S=\frac{17S}{20} +12\\\\S=\frac{17S+240}{20} \\\\20S=17S+240\\\\20S-17S= 240\\\\3S = 240\\\\S = \frac{240}{3} \\\\S=80$

So the total distance of his journey is 80 km