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A person completes his journey by covering 7/12 of his total journey by foot, 3/5 of the remaining journey by bus, and the remaining 15 km by car. what is the length of his entire journey(in km)?


1. 100 km
2. 98 km
3. 90 km
4. 85 km

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Correct Answer - Option 3 : 90 km

Given:

The distance covered by foot = (7/12) of the total journey

The distance covered by bus = (3/5) of the remaining journey

The distance covered by car = 15 km

Calculation:

Let the distance of the entire journey be D km.

The distance covered by the person by foot = (7/12) × D

⇒ 7D/12

The remaining distance to complete the journey = D - (7D/12)

⇒ 5D/12

The distance covered by the person by bus = (3/5) × (5D/12)

⇒ (3D/12)

Completed journey = (7D/12) + (3D/12)

⇒ 10D/12

The remaining journey = D - (10D/12)

⇒ 2D/12

According to the question,

2D/12 = 15

⇒ D/6 = 15

⇒ D = 15 × 6

⇒ D = 90 km

∴ The length of the entire journey is 90 kilometers.

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