Multiple choice

A man completes his journey in 9 hours. He covers half the distance at 45 kmph and the rest at 65 kmph. The length of the journey is?

  1. $478.64 km$
  2. $459.23 km$
  3. $419.62 km$
  4. $489.65 km$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let total distance = 2d. Time for first half = d/45, time for second half = d/65. Total time = d/45 + d/65 = d(1/45 + 1/65) = d(65+45)/(45×65) = 110d/2925 = 9 hours. So 2d = (9 × 2925 × 2)/110 = 478.64 km.

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