Question
In a race spanning 900 meters, Runner A surpasses Runner
B by 180 meters and Runner C by 270 meters. If B and C compete in a 320-meter dash, with C starting 28 meters ahead of B, determine the separation between B and C at the conclusion of the race.Solution
Ratio of speeds of 'A', 'B' and 'C' = 900:(900 - 180) :(900 - 270) = 10:8:7 So, ratio of speeds of B and C = 8:7 Distance covered by 'C' in the time taken by 'B' to cover 320 metres = 320 X (7/8) = 280 metres So, total difference between 'B' and 'C' when 'B' reaches the finish line = 320 - (280 + 28) = 12 metres So, 'B' will beat 'C' by 12 metres
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