In a km race, P gives Q and R starts of 10 meters and 16 meters respectively. When P crosses the finishing line, Q is 12 meters behind him and R is 20 meters behind him. How much start can Q give R in a km race so that they finish together?
Explanation:
When P completes 1000m, Q completes 1000 - 10 – 12 = 978m
When P completes 1000m, R completes 1000 - 16 – 20 = 964m
i.e., when Q completes 978 m, R completes 964m
Therefore, when Q completes 1000 meters R completes 1000×964978=482000489 m
Therefore, the start that Q can give R is 1000 - 482000489=14154489
Hence, option (a).
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