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Shivam travels 20% distance of the total journey by car and 50% of the remaining by train and taxi in the respective ratio of 5:3 and the remaining distance he covers on feet. If the sum of the distance which he travels by car and by Taxi is 126 km, then find the total distance which Shivam travels during his journey?

360 km

640 km

420 km

400 km

Explanation:

Let total distance = 100x
Distance covered by car = 20% of 100x = 20x
Distance covered by Train = 5 /5 + 3 × 50% of (100x – 20x)
= 5/8 × 40 x = 25x
Distance covered by Taxi = 3/5+3 × 50% of (100x – 20x)
= 3/8 × 40 x = 15x
Distance covered on feet = 100x – 20x – 25x – 15x = 40x
Total distance covered by Car and Taxi = 20x + 15x
= 35x = 126 km (Given)
Length of journey = 100 × 126/35 = 360 km

By: Amit Kumar

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