Question 96

A man completes a journey in 8.5 hours. He travels first half of the journey at the rate of 20 kmph and second half at the rate of 30 kmph. Find the total distance of the entire journey. (in km)

Solution

Let total distance = $$2d$$ km

Using, time = distance/speed

=> $$\frac{d}{20}+\frac{d}{30}=8.5$$

=> $$\frac{30d+20d}{600}=8.5$$

=> $$5d=8.5\times60$$

=> $$d=8.5\times12=102$$

$$\therefore$$ Total distance of the entire journey = $$2\times102=204$$ km

=> Ans - (B)

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