Multiple choice

A man takes 4 hours to take a round of the circular ground by jogging. How long will the man take on bike to cover one eighth of the same distance at an average speed which is quarter the speed of the man while jogging?

  1. 60 minutes

  2. 30 minutes

  3. 90 minutes

  4. 120 minutes

  5. 180 minutes
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let D be the distance and v be the jogging speed. v = D/4. The bike speed is v/4 = D/16. The bike covers D/8. Time = (D/8) / (D/16) = 2 hours, which is 120 minutes.

AI explanation

Let the jogging speed be v and the total distance be d, so v equals d divided by 4 hours. The bike covers an eighth of the distance, which is d divided by 8, at a speed that is a quarter of the jogging speed, or v divided by 4. Substituting v gives the bike speed as d divided by 16. Using the time formula, time equals distance divided by speed, the time taken is d divided by 8, divided by d divided by 16, which equals 2 hours, or 120 minutes.

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