A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

Question

A. 220 km

B. 224 km

C. 230 km

D. 234 km

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Correct Answer :

B. 220 km

\frac{(1 / 2) x}{21} + \frac{(1 / 2) x}{24} = 10

\Rightarrow \frac{x}{21} + \frac{x}{24} = 20

\Rightarrow 15 x = 168 x 20

\Rightarrow x = (\frac{168 x 20}{15}) = 224 k m .

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