Multiple choice

Directions: Compare the two quantities in A and B. A car covers a certain distance at a speed of 40 kmph, and returns at a speed of 60 kmph. Quantity A Quantity B Average speed of the car for the entire journey 50 kmph

  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

Average speed = (2 * v1 * v2) / (v1 + v2) = (2 * 40 * 60) / (40 + 60) = 4800 / 100 = 48 kmph. Quantity A (48) is less than Quantity B (50).

AI explanation

Using the harmonic mean formula for average speed when equal distances are covered, we calculate average speed as two times 40 times 60 divided by the sum of 40 and 60. This gives 4800 divided by 100, resulting in an average speed of 48 kmph. Since quantity A is 48 kmph and quantity B is 50 kmph, quantity B is greater than quantity A.