A person can complete a journey in 6 hours. He covers the first one-third part of thejourney at the rate of 23 km/h and the remaining distance at the rate of 46 km/h. What isthe total distance (in km) of his journey?

Correct option is D

Given:

Total time = 6 hours

First $$\frac{1}{3}$$​ distance at 23 km/h

Remaining $$\frac{2}{3}$$​ distance at 46 km/h

Formula Used:

Time = $$\frac{\text{Distance}}{\text{Speed}}$$​​

Solution:

Let total distance = x km

Then,

​$$\frac{\frac{x}{3}}{23} + \frac{\frac{2x}{3}}{46} = 6$$​​

​$$\frac{x}{69} + \frac{2x}{138} = 6$$​​

​$$\frac{2x + 2x}{138} = 6$$​​

​$$\frac{4x}{138} = 6$$​​

​$$\frac{2x}{69} = 6$$​​

2x = 414

x = 207 

Thus, Total distance = 207 km