Multiple choice

A man can walk uphill at the rate of $\displaystyle 2\dfrac{1}{2} $ km/hr and downhill at the rate of $\displaystyle 3\frac{1}{4} $ km/hr. If the total time required to walk a certain distance up the hill and return to the starting point was $4$ hours $36$ minutes, then what was the distance he walked up the hill?

  1. $\displaystyle 6\frac{1}{2} $ m
  2. $\displaystyle 5\frac{1}{2} $ m
  3. $\displaystyle 4\frac{1}{2} $ m
  4. $4$ km
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let d be the distance. Time = d/2.5 + d/3.25 = 4.6 hours. d(1/2.5 + 1/3.25) = 4.6. d(0.4 + 0.3077) = 4.6. d(0.7077) = 4.6. d = 6.5 km. Note: The unit in options is 'm' but should be 'km'.

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