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.
220 km
224 km
230 km
234 km
Explanation:
| $ \dfrac{(1/2)x}{21} $+$ \dfrac{(1/2)x}{24} $= 10 |
| $\Rightarrow \dfrac{x}{21} $+$ \dfrac{x}{24} $= 20 |
$\Rightarrow$ 15$ x $ = 168 x 20
| $\Rightarrow x $ =$ \left(\dfrac{168 \times 20}{15} \right) $= 224 km. |