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:
$\dfrac{(1/2)x}{21}+\dfrac{(1/2)x}{24}=10$
$\Rightarrow \dfrac{x}{21}+\dfrac{x}{24}=20$
$\Rightarrow$ 15x = 168 x 20
$\Rightarrow x=\dfrac{168 \times 20}{15}$
=224 km.
$\dfrac{(1/2)x}{21}+\dfrac{(1/2)x}{24}=10$
$\Rightarrow \dfrac{x}{21}+\dfrac{x}{24}=20$
$\Rightarrow$ 15x = 168 x 20
$\Rightarrow x=\dfrac{168 \times 20}{15}$
=224 km.