Multiple choice

Directions: Compare the two quantities in A and B. Mr. A can cover D km in eight hours. Mr. B, whose speed is 20% more than that of A, can cover a distance, which is 20% less than D km, in t hours. Quantity A Quantity B t 6 hours

  1. Quantity A is greater than quantity B.

  2. Quantity B is greater than quantity A.

  3. Both quantities are equal.

  4. The relationship between the quantities cannot be determined.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A speed = D/8. B speed = 1.2 * (D/8) = 0.15D. B distance = 0.8D. Time t = Distance/Speed = 0.8D / 0.15D = 80/15 = 5.33 hours. Since 5.33 < 6, Quantity B is greater.

AI explanation

Let the speed of Mr. A be S, making Mr. B's speed 1.2S since it is 20 percent greater. The distance Mr. B covers is 0.8D, so using the formula time equals distance divided by speed, the time t equals 0.8D divided by 1.2S. Substituting D over 8 for S from Mr. A's information simplifies the equation to 16 over 3 hours, which is approximately 5.33 hours, making quantity B greater.

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