Multiple choice

A person moves a certain distance in a certain time. If 1/3 of the distance is covered in 2/3 of the time with speed $V_1$, and the rest of the 2/3 distance in 1/3 of the time speed $V_2$, then $V_1/V_2$ is

  1. 1/2

  2. 1/4

  3. 4/9

  4. 2/9
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B Correct answer
Explanation

V1 = (1/3 D) / (2/3 T) = 1/2 * (D/T). V2 = (2/3 D) / (1/3 T) = 2 * (D/T). V1/V2 = (1/2) / 2 = 1/4.

AI explanation

Let the total distance be D and the total time be T. The speed V1 is (1/3D) divided by (2/3T), which simplifies to D/2T. The speed V2 is (2/3D) divided by (1/3T), which simplifies to 2D/T. The ratio V1 to V2 is (D/2T) divided by (2D/T). Multiplying by the reciprocal gives 1/4.

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