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?
432
Let the total distance of the journey be \( D \). The time to travel the first one-third is \( \frac{D}{3 \times 30} \) and the time to travel the remaining two-thirds is \( \frac{2D}{3 \times 40} \). The total time is 12 hours, so: \[ \frac{D}{3 \times 30} + \frac{2D}{3 \times 40} = 12 \] Solving this gives \( D = 432 \) km.
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