Question
Download Solution PDFIn a race around a circular cycling track of 75 km, two cyclists are riding at a speed of 30 km/h and 25 km/h. After what time (in hours) will they meet at the point from where they started their journey?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Length of circular cycling track = 75 km
The speed of 2 cyclists is 30 kmph and 25 kmph respectively.
Formula:
Time = distance/speed
LCM of fractions = [LCM of numerators of fractions] / [HCF of denominators of fractions]
Calculation:
Time taken by each to cover one round = 75/30
Time taken by each to cover one round = 75/25
∴ Required time = LCM(75, 75) / HCF(30, 25)
= 75/5 = 15 hours
They meet at the point from where they started their journey after 15 hours.
Last updated on Jun 11, 2025
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