Vipin travels one-third of the distance of a journey at a speed of 30 km/h and the remaining distance at a speed of 40 km/h. If he took a total of 12 hours to complete the journey, what was the total distance (in km ) of the journey?

Correct option is B

Given:

To cover one-third of the distance, speed = 30km/h

To cover the remaining distance, speed = 40 km/h

Concept and Formula Used:

Formula for speed;

Speed = Distance/Time

Solution:

Let the total distance = 3x km

ATQ,

​$$\frac{x}{30} + \frac{2x}{40} = 12 \\\ \\\frac{4x + 6x}{120} = 12 \\10x = 1440 \\x = 144 \, \text{km} \\\text{Total distance} = 3x = 432 \, \text{km}$$​​