One third of a certain journey is covered at the rate oi 25 km/h, one-fourth at the rate of 30 km/h and the rest at 50 km/h. The average speed for the whole journey is :
Correct Answer: |
B) 33\( \Large \frac{1}{3} \) km/h |
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Description for Correct answer:
Let the total distance be x km.
Total time = \( \Large \frac{x}{3 x 25} \) + \( \Large \frac{x}{4 x 30} \) + \( \Large \frac{5x}{12 x 50} \)
= \( \Large \frac{x}{75} \) + \( \Large \frac{x}{120} \) + \( \Large \frac{x}{120} \) = \( \Large \frac{8x + 5x + 5x}{600} \)
= \( \Large \frac{18x}{600} \) = \( \Large \frac{3x}{100} \) hours
Therefore Average speed = \( \Large \frac{x}{3x/100} \) = \( \Large \frac{100}{3} \) = 33 \( \Large \frac{1}{3} \)km/h
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