Question
In a 25 km race, P, Q, and R are running at uniform speed.
If ‘P’ beats ‘Q’ by 5 km, and ‘Q’ beats ‘R’ by 3 km, then by how many metres does ‘P’ beat ‘R’?Solution
ATQ,
When ‘P’ covers 25 km, ‘Q’ will cover 20 km
Similarly, when ‘Q’ covers 25 km, ‘R’ covers 22 km
Therefore, when ‘Q’ covers 20 km, then ‘R’ will cover = (20 × 22) / 25 = 17.6 km
Therefore, ‘P’ will beat ‘R’ by = 25 – 17.6 = 7.4 km = 7400 metres
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