Multiple choice

A man walks 6 km at a speed of 1 1/2 kmph, runs 8 km at a speed of 2 kmph and goes by bus another 32 km. Speed of the bus is 8 kmph. Find the average speed of the man?

  1. 4 (5/6) kmph

  2. 3 (5/6) kmph

  3. 5 (7/6) kmph

  4. 4(7/6) kmph

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total distance = 6 + 8 + 32 = 46 km. Total time = 6/1.5 + 8/2 + 32/8 = 4 + 4 + 4 = 12 hours. Average speed = 46 / 12 = 23/6 = 3 and 5/6 kmph.

AI explanation

Using the formula for average speed, we first calculate the total time taken by dividing the distance by the speed for each part of the journey. The time taken to walk is 6 divided by 1.5, which is 4 hours; the time to run is 8 divided by 2, which is 4 hours; and the time by bus is 32 divided by 8, which is 4 hours, making the total time 12 hours. The total distance is 6 km plus 8 km plus 32 km, equaling 46 km, so the average speed is 46 divided by 12, resulting in 3 (5/6) kmph.

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