Question : In a circular race of 4225 m, X and Y start from the same point and at the same time, at speeds of 54 km/hr and 63 km/hr, respectively. When will they meet again for the first time on the track, when they are running in opposite directions?
Option 1: 140 seconds
Option 2: 150 seconds
Option 3: 130 seconds
Option 4: 120 seconds
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Correct Answer: 130 seconds
Solution :
Relative speed = $54 + 63 = 117$ km/hr
Time is taken for both to meet for the first time on the track
$=\frac{\text{Distance}}{\text{Speed}} = \frac{4.225}{117} = 0.036 \text{ hours} = 0.036 \times 3600$ seconds = 130 seconds
Hence, the correct answer is 130 seconds.
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