Question : Two persons A and B are running around a circular track of length 1200 m with respective speeds of 27 kmph and 36 kmph. They started at the same time from the same point and are running in the same direction. When will they meet for the first time on the track (in seconds)?
Option 1: 420
Option 2: 240
Option 3: 480
Option 4: 360
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Correct Answer: 480
Solution :
Given: Distance = 1200 m
Relative speed between A and B = 36 – 27 = 9 km/hr
= $9\times \frac{5}{18}$
= 2.5 m/s
$\therefore$ Time = $\frac{\text{Distance}}{\text{Speed}}=\frac{1200}{2.5}= 480$ seconds
Hence, the correct answer is 480.
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