Question

A person completes \(\frac{2}{15}\)th of his total journey by rail, \(\dfrac{9}{20}\)th by car and the remaining 10 km by walking. Accordingly how many kilometers is his entire journey?
1. 36
2. 40
3. 30
4. 24

Answer 1

Correct Answer - Option 4 : 24

Given 

Covered by rail = 2/15 of his total journey

Covered by car = 9/20 of his journey 

Formula used 

Distance = speed × Time

Calculation 

Let the total distance be x 

Distance covered by walking = 10 km 

⇒ (x - 2x/15 - 9x/20) = 10 

⇒ (60x - 8x - 27x) = 10 × 60 

⇒ x = 10 × 60/25  = 24 km

∴ The total distance covered by him is 24 km