Question
In a 450-meter race, 'A' finishes 50 meters ahead of
'B' and 90 meters ahead of 'C'. What will be the distance by which 'B' will finish ahead of 'C' if they all race the same distance?Solution
Distance covered by 'B' in the time 'A' takes to cover 450 metres = 450 - 50 = 400 metres Distance covered by 'C' in the time 'A' takes to cover 450 metres = 450 - 90 = 360 metres So, ratio of speeds of 'B' and 'C' = 400:360 = 10:9 So, distance covered by 'C' in the time 'B' covers 450 metres = 450 X (9/10) = 405 metres So, 'B' will beat 'C' by 450 - 405 = 45 metres
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