Multiple choice

A person covered one-fourth of a distance at the speed of 2.5 kmph. He covered the remaining distance at the speed of 5 kmph. If he took half-an-hour for the entire journey, what distance did he travel?

  1. 1 km

  2. 1.5 km

  3. 2 km

  4. 2.5 km

  5. 3 km
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total distance be D. (D/4)/2.5 + (3D/4)/5 = 0.5. D/10 + 3D/20 = 0.5. (2D + 3D)/20 = 0.5. 5D = 10, so D = 2 km.

AI explanation

Let the total distance be x kilometers, so the first part is x/4 and the second part is 3x/4. Using the formula that time equals distance divided by speed, the total time is (x/4)/2.5 plus (3x/4)/5, which simplifies to x/10 + 3x/20. Given the total time is 0.5 hours, the equation is 5x/20 = 0.5, so x equals 2 km.

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