CUET · MATHS · PYQ PAPER 2025
In a 10 km race, \(A, B\) and \(C\) each run at uniform speed and get the first, second and third positions respectively.
If \(A\) beats \(B\) by 1 km and \(B\) beats \(C\) by 1 km , then by how much distance does \(A\) beat \(C\) ?
- A 2 km
- B 1.9 km
- C 1.8 km
- D 2.1 km
Answer & Solution
Correct Answer
(B) 1.9 km
Step-by-step Solution
Detailed explanation
When \(A\) finishes \(10\) km, \(B\) has run \(10 - 1 = 9\) km. When \(B\) finishes \(10\) km, \(C\) has run \(10 - 1 = 9\) km. So, \(C\) runs \(\frac{9}{10}\) of the distance \(B\) runs. When \(B\) runs \(9\) km (as \(A\) finishes), \(C\) runs \(9 \times \frac{9}{10} = 8.1\)…
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