Question
In a race of 1.5 km, 'R' gives 'S' a head start of 250 metres and still defeats him by 150 metres. If 'S' takes 18 minutes to complete the race, how long does 'R' take?
Solution
ATQ,
Distance covered by 'S' when 'R' runs 1500 m = 1500 - 250 - 150 = 1100 m
Speed ratio (R : S) = 1500 : 1100 = 15 : 11
Time ratio = 11 : 15
Time taken by R = (18/15) × 11 = 13.2 minutes
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