Question
In a 1200-metre race, 'Karan' beats 'Arjun' by '240'
metres and 'Veer' by '360' metres. If 'Arjun' and 'Veer' participate in a 600-metre race, and 'Veer' gets a head start of 60 metres, then find the distance between 'Arjun' and 'Veer' when the winner reaches the finish line.Solution
ATQ, Ratio of speeds of 'Karan', 'Arjun', and 'Veer' = 1200 : (1200 - 240) : (1200 - 360) = 10 : 8 : 7 So, ratio of speeds of Arjun and Veer = 8 : 7 Distance covered by 'Veer' in the time taken by 'Arjun' to cover 600 metres = 600 × (7/8) = 525 metres Total difference between 'Arjun' and 'Veer' when 'Arjun' reaches the finish line = 600 - (525 + 60) = 15 metres So, 'Arjun' will beat 'Veer' by 15 metres.
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