Multiple choice

A cyclist covers a distance of 10 km in 12 min. If his speed decreases by 5 km/hr, then time taken by him to cover the same distance will be _________.

  1. 13 min and 20 sec

  2. 13 min

  3. 11 min and 20 sec

  4. 11 min
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A Correct answer
Explanation

Speed = 10 km / (12/60) hr = 50 km/hr. New speed = 50 - 5 = 45 km/hr. Time = 10 / 45 hr = 2/9 hr. 2/9 * 60 min = 120/9 = 13.33 min = 13 min and 20 sec.

AI explanation

The cyclist's original speed is calculated using the formula speed equals distance divided by time, which gives 10 km divided by (12 divided by 60) hours, equaling 50 km/hr. Decreasing this speed by 5 km/hr makes the new speed 45 km/hr, and the new time to cover 10 km is 10 divided by 45 hours. Converting this time to minutes gives 2 over 9 hours multiplied by 60, resulting in 13 minutes and 20 seconds.

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