A scooterist completes a certain journey in 10 hours. He covers half the distance at 30 km/hr and the rest at 70 km/hr. The total distance of the journey is

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400 km

420 km

450 km

500 km

answer is B.

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Detailed Solution

Let the total distance of the journey be x km

Then $\frac{x}{2} + \frac{x}{2}$

$\frac{\frac{x}{2}}{30} + \frac{\frac{x}{2}}{70} = 10$

$\frac{x}{30} + \frac{x}{70} = 20 \Rightarrow \frac{7 x + 3 x}{210} = 20$

$x = \frac{20 \times 210}{10} = 420 k m$

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