# 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 man

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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

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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