A child completes a journey in 20 hours. He travels first half of the journey at the rate of 10.5 kmph and second half at the rate of 12 kmph. What is the total journey that he covered in km?

210 km

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224 km

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234 km

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240km

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250 km

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Solution

The correct option is B
224 km

$\frac{(\frac{1}{2}) x}{10.5} + \frac{(\frac{1}{2}) x}{12} = 20$

$\Rightarrow$ $\frac{2 x}{21} + \frac{x}{12} = 40$

$\Rightarrow$ 5x = 28 $\times$ 40

=> x = 224 km

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A child completes a journey in 20 hours. He travels first half of the journey at the rate of 10.5 kmph and second half at the rate of 12 kmph. What is the total journey that he covered in km?

The correct option is B 224 km (12)x10.5+(12)x12=20 ⇒ 2x21 +x12=40 ⇒ 5x = 28 × 40 => x = 224 km

The correct option is B
224 km

$\frac{(\frac{1}{2}) x}{10.5} + \frac{(\frac{1}{2}) x}{12} = 20$

$\Rightarrow$ $\frac{2 x}{21} + \frac{x}{12} = 40$

$\Rightarrow$ 5x = 28 $\times$ 40

=> x = 224 km