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Question

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.

Options:
A .  220 km
B .  224 km
C .  230 km
D .  234 km
Answer: Option B

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


=\(\frac{x}{21}+\frac{x}{24}=20\)


15x = 168 x 20


\(x=\left(\frac{168\times20}{15}\right)=224km.\)


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