CUET · MATHS · PYQ PAPER 2025
A runs 9 times slower than B. If B gives A a start of 80 meters, how far must be the winning post on the tracks so that A and B reach there at the same time?
- A 80 meters
- B 9 meters
- C 98 meters
- D 90 meters
Answer & Solution
Correct Answer
(D) 90 meters
Step-by-step Solution
Detailed explanation
\(\frac{d - 80}{v_A} = \frac{d}{v_B}\) \(\frac{d - 80}{v_B/9} = \frac{d}{v_B}\) \(9(d - 80) = d\) \(9d - 720 = d\) \(8d = 720\) \(d = 90 \text{ meters}\)
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