Multiple choice

Laxman has to cover a distance of 6 km in 45 minutes. If he covers one-half of the distance in two-thirds of the time, what should be his speed to cover the remaining distance in the remaining time?

  1. 12 km/h

  2. 16 km/h

  3. 3 km/h

  4. 8 km/h
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A Correct answer
Explanation

Total distance = 6 km, total time = 45 min. First half (3 km) takes 2/3 of 45 min = 30 min. Remaining distance = 3 km, remaining time = 15 min (1/4 hour). Speed = distance / time = 3 / (1/4) = 12 km/h.

AI explanation

The total distance of 6 km means the remaining distance is 3 km, and the total time of 45 minutes means the remaining time is 15 minutes, or one quarter of an hour. Using the formula for speed as distance divided by time, the required speed is 3 km divided by 0.25 hours, which equals 12 km/h.

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