Question
Two individuals, 'A' and 'B', are running around a
circular track with a total length of 2000 meters. 'A' runs clockwise at a speed of 5 m/s, while 'B' runs anticlockwise at a speed of 7.5 m/s. What is the distance from the starting point to the nearest point where 'A' and 'B' will meet, relative to their starting point?Solution
Ratio of speeds of 'A' and 'B' = 5:7.5 = 2:3 So, number of meeting points = 2 + 3 = 5 So, distance between each meeting point = 2000 ÷ 5 = 400 metres So, required distance = 400 metres
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