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A man can walk a certain distance at a uniform speed in 100 days. How long will it take him to cover twice the distance at half the normal speed?

  • A.
    50 days
  • B.
    25 days
  • C.
    12½ days
  • D.
    200 days
  • E.400 days

Answer: E

Time is proportional to distance and inversely proportional to speed.

\[ t' = 100 \times 2 \times \frac{1}{1/2} = 100 \times 2 \times 2 \]

\[ = 400 \text{ days} \]

Doubling the distance doubles the time, and halving the speed doubles it again - the two effects compound.

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