[SOLVE] Vipin travels one-third of the distance of a journey at a speed of 30 km/h

Question: Vipin travels one-third of the distance of a journey at a speed of 30 km/h and the remaining distance at a speed of 40 km/h. If he took a total of 12 hours to complete the journey, what was the total distance (in km) of the journey?

(a) 445
(b) 450
(c) 412
(d) 432

Answer:

120×3 = 360

D = 360
$\frac{120}{30}= 4 and \frac{240}{40}= 6$
then 4+6 = 10

$10 \rightarrow 12$
then $360 \frac{12}{10} = 432$
The answer is 432