Multiple choice

A man completes a journey in 8 hours. He covers half the distance at 40 km/hr and the rest at 60 km/hr. The length of the journey is

  1. 450 km

  2. 420 km

  3. 384 km

  4. None of the above
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total distance be 2D. Time = distance/speed. D/40 + D/60 = 8. (3D + 2D) / 120 = 8. 5D / 120 = 8. D = 8 * 24 = 192. Total distance = 2D = 384 km.

AI explanation

Using the formula time equals distance divided by speed, let half the total distance be d km, so the total time is (d divided by 40) plus (d divided by 60) equals 8. Finding a common denominator of 120 gives 3d plus 2d divided by 120 equals 8, which means 5d equals 960 and d equals 192. Since d represents only half the journey, the total length is 192 multiplied by 2. The result is 384 km.

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