Question
Download Solution PDFA, B and C runs at speeds \(5\frac{m}{s}\), \(3\frac{m}{s}\) and \(8\frac{m}{s}\), respectively. They start the race at the same time from the same point. After some time, it was found that the distance between A and C is 6 m. Determine the distance between A and B.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Speed of A = 5 m/s
Speed of B = 3 m/s
Speed of C = 8 m/s
Distance between A and C = 6 m
Concept:
Distance = Speed × Time
Solution:
The relative speed of A and C is 8 - 5 = 3 m/s.
Given the distance of 6 m between A and C, they've been running for 6/3 = 2 seconds.
In 2 seconds, B runs 3 m/s × 2 s = 6 m, and A runs 5 m/s × 2 s = 10 m.
The distance between A and B is 10 m - 6 m = 4 m.
Hence, the distance between A and B is 4 m.
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