Quantitative Aptitude Ques 477

Question: A man travels a distance of 24 km at 6 km/h another distance of 24 km, at 8 km/h and a third distance of 24 km at 12 km/h. His average speed for the whole journey (in km/h), is

Options:

A) $ 8\frac{2}{3} $

B) 8

C) $ 2\frac{10}{13} $

D) 9

Show Answer

Answer:

Correct Answer: B

Solution:

  • Average speed $ =\frac{3xyz}{xy+yz+zx} $ $ =\frac{3\times 6\times 8\times 12}{6\times 8+8\times 12+6\times 12} $ $ =\frac{3\times 6\times 8\times 12}{48+96+72} $
    $ =\frac{3\times 6\times 8\times 12}{216}=8,km/h $
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