Question
In a 1500-metre race, 'Sahil' beats 'Rohan' by '300'
metres and 'Kabir' by '450' metres. If 'Rohan' and 'Kabir' participate in a 700-metre race, and 'Kabir' gets a head start of 70 metres, then find the distance between 'Rohan' and 'Kabir' when the winner reaches the finish line.Solution
ATQ, Ratio of speeds of 'Sahil', 'Rohan', and 'Kabir' = 1500 : (1500 - 300) : (1500 - 450) = 10 : 8 : 7 So, ratio of speeds of Rohan and Kabir = 8 : 7 Distance covered by 'Kabir' in the time taken by 'Rohan' to cover 700 metres = 700 × (7/8) = 612.5 metres Total difference between 'Rohan' and 'Kabir' when 'Rohan' reaches the finish line = 700 - (612.5 + 70) = 17.5 metres So, 'Rohan' will beat 'Kabir' by 17.5 metres.
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