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A car travels 1 / 3 of a distance in 2 hours, 1 / 4 of remaining in 1 hour and remaining in 3 hours. If average speed of the car in the whole journey is 50 km / hr. Find the total distance covered by the car?
1. 400
2. 150
3. 600
4. 300
5. 450

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Correct Answer - Option 4 : 300

Given

A car travels 1 / 3 of a distance in 2 hours, 1 / 4 of remaining in 1 hour and remaining in 3 hours.

Average speed of the car in the whole journey is 50 km / hr

Formula used

Average speed = Total distance Travelled / total time

Calculations

Let the total distance be x

And the total time = 1 + 2 + 3 = 6 hr

Average speed = \(\frac{{\rm{x}}}{6}\)         ---(1)                                          

Since average speed is 50 km / hr, on equating equation (1) with 50 km / hr, we get

⇒ x = 300 km

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