Multiple choice

A car covers the distance from town A to town B at a speed of 58 kmph and covers the distance from town B to town A at a speed of 52 kmph. What is the average speed of the car for the entire distance?

  1. 54.84 kmph

  2. 55.84 kmph

  3. 56 kmph

  4. 54 kmph

  5. 56.84 kmph
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A Correct answer
Explanation

The average speed for a round trip with speeds v1 and v2 is given by the formula (2 * v1 * v2) / (v1 + v2). Plugging in 58 and 52, we get (2 * 58 * 52) / (58 + 52) = 6032 / 110 = 54.8363, which rounds to 54.84 kmph.

AI explanation

To find the average speed for a journey with equal distances covered at two different speeds, apply the formula 2xy / (x + y). Let the two speeds be 58 kmph and 52 kmph. The average speed is (2 * 58 * 52) / (58 + 52) = 6032 / 110 = 54.836 kmph. The average speed of the car is 54.84 kmph.

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