A bus covers a certain distance in 16 h. It covers half

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A bus covers a certain distance in 16 h. It covers half the distance at 40 km/h and the rest at 60 km/h. Find the length of the journey.?

1. 520 km
2. 448 km
3. 384 km
4. 768 km

Correct Option: D

Let the total distance covered = L = Length of journey
According to the question,
(L/2 x 1/40) + (L/2 x 1/60) = 16
⇒ L/80 + L/120 = 16
⇒ (3L + 2L)/240 = 16
⇒ 5L = 16 x 240
∴ L = (16 x 240)/5 = 16 x 48 = 768 km