Question
Download Solution PDFIn a 2295 m circular race, Siddharth finishes one round in 85 seconds and Yash finishes one round in 45 seconds. How many different meeting points are there on the circumference if they are running in the opposite directions?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Track length = 2295 m
Siddharth's time per round = 85 seconds
Yash's time per round = 45 seconds
Formula Used:
Speed = Distance / Time
Number of distinct meeting points (opposite directions) = Sum of ratio terms of speeds (in lowest terms)
Calculations:
Siddharth's speed = 2295 / 85 = 27 m/s
Yash's speed = 2295 / 45 = 51 m/s
Ratio of speeds = 27 : 51 = 9 : 17
Number of meeting points = 9 + 17
⇒ Number of meeting points = 26
∴ The number of different meeting points on the circumference is 26.
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