Question

A man travelled 2/5of his journey by train,1/3 by taxi,1/6 by bus and remaning 10 km by foot find the length of his total journey

Answer 1

Hi there!
Here's the answer:

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Let the length of total journey by man be x

Length of Man's journey by Train = $\frac{2x}{5}$

Length of His journey by Taxi = $\frac{x}{3}$

Length of his journey by bus = $\frac{x}{6}$

Length of Man's journey by Train, Taxi and Bus = $\frac{2x}{5} + \frac{x}{3} + \frac{x}{6}$

= $\frac{27x}{30}$

= $\frac{9x}{10}$

Remaining Journey On foot = $x - \frac{9x}{10} = \frac{x}{10}$

Given,
Length of his Journey on foot = 10 km
=> $\frac{x}{10} = 10$

=> x = 10 × 10 km = 100 km

•°• Length of his total journey = 100 km

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