Question
In a 50 km race, R, S, and T are running at uniform speed.
If ‘R’ beats ‘S’ by 10 km, and ‘S’ beats ‘T’ by 6 km, then by how many metres does ‘R’ beat ‘T’?Solution
ATQ,
When ‘R’ covers 50 km, ‘S’ will cover 40 km
Similarly, when ‘S’ covers 50 km, ‘T’ covers 44 km
Therefore, when ‘S’ covers 40 km, then ‘T’ will cover = (40 × 44) / 50 = 35.2 km
Therefore, ‘R’ will beat ‘T’ by = 50 – 35.2 = 14.8 km = 14800 metres
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