One-fourth of certain journey is covered at the rate of 25…

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One-fourth of certain journey is covered at the rate of 25 km/h, one-third at the rate of 30 km/h and the rest at 50 km/h. Find the average speed for the whole journey.

  1. A. $$\frac{{600}}{{53}}$$ km/h
  2. B. $$\frac{{1200}}{{53}}$$ km/h
  3. C. $$\frac{{1800}}{{53}}$$ km/h
  4. D. $$\frac{{1600}}{{53}}$$ km/h

E. None of these

Here is complete explanation of One-fourth of certain journey is covered at the rate of 25….

Solution(By ExamCraze Team)

Let distance be 120 km Hence 30 km is covered by @25 kmph and 40 km covered by @30 kmph and rest 50 km has been covered @50 kmph
Now,
$$eqalign{ & {text{average}} = {frac{{120}}{{{text{total}},{text{time}},{text{taken}}}}} cr & = frac{{120}}{{frac{{30}}{{25}} + frac{{40}}{{30}} + frac{{50}}{{50}}}} cr & = frac{{3600}}{{106}} cr & = frac{{1800}}{{53}},{text{km/h}} cr} $$

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