Question
In a 10 km race, D, E, and F are running at uniform speed.
If ‘D’ beats ‘E’ by 2 km, and ‘E’ beats ‘F’ by 1 km, then by how many metres does ‘D’ beat ‘F’?Solution
ATQ,
When ‘D’ covers 10 km, ‘E’ will cover 8 km
Similarly, when ‘E’ covers 10 km, ‘F’ covers 9 km
Therefore, when ‘E’ covers 8 km, then ‘F’ will cover = (8 × 9) / 10 = 7.2 km
Therefore, ‘D’ will beat ‘F’ by = 10 – 7.2 = 2.8 km = 2800 metres
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