Multiple choice

Shruti travels a distance of 224 km in four parts, for a total travel time of 3 hours. Her speeds in these four parts follow an arithmetic progression, and the corresponding time taken to cover these four parts follow another arithmetic progression. If she travels at a speed of 960 meters per minute for 30 minutes to cover the first part, then the distance, in meters, she travels in the fourth part is

  1. 72,000

  2. 80,000

  3. 86,400

  4. 90,000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The times taken for the four parts form an arithmetic progression starting at 30 minutes and summing to 180 minutes, which gives the times as 30, 40, 50, and 60 minutes. The speeds also form an arithmetic progression starting at 57.6 km/h. Solving for the common difference using the total distance of 224 km gives the speed in the fourth part as 86.4 km/h, resulting in a distance of 86,400 meters.

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