Question

In a race on a circular track, there were 12 laps of 150 m each. Akhil and Bharat were very close till the end of the third lap, but thereafter Bharat went on to win the race by 81 m. If Bharat gained uniformly over Akhil in all the remaining laps, the ratio of the speed of Akhil and Bharat for each of other laps was:

• A. 129 : 150
• B. 150 : 141
• C. 150 : 129
• D. 141 : 150

Answer 1

The correct option is D 141 : 150

Total distance covered by Bharat and Akhil = 1800 m and 1719 m, respectively.
But since both are very close till the third lap, there speed changes after the third lap.
Therefore, ratio of distance covered after third lap = 1269 : 1350
Therefore, speed of Akhil:Bharat = 1269 : 1350 = 0.94
Also, 141 : 150 = 0.94
Hence, option (d) is the answer.