Question
Download Solution PDFTwo people A and B started running from the same point on a circular track of length 400 m in opposite directions with initial speeds of 10 m/s and 40 m/s, respectively. Whenever they meet, A's speed doubles and B's speed halves. After what time from the start will they meet for the third time?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Length of the circular track = 400 m
Speed of A = 10 m/s
Speed of B = 40 m/s
Formula used:
Distance = relative speed × time
Calculation:
Distance = relative speed × time
⇒ 400 = 50 × T
⇒ T = 400/50 = 8 sec
Now, According to the question:
A new speed = 20 m/s
B new speed = 20 m/s
Distance = relative speed × time
⇒ 400 = 40 × T
⇒ T = 400/40 = 10 sec
A's new speed = 40 m/s
B's new speed = 10 m/s
Distance = relative speed × time
⇒ 400 = 50 × T
⇒ T = 400/50 = 8 sec
Total time to meet for third time = 8 + 10 + 8 = 26 sec
∴ The correct answer is 26 sec.
Last updated on Jun 26, 2025
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