CUET · MATHS · PYQ PAPER 2023
A runs 5 times faster than B . If A gives B a start of 100 m , how far must the goal be so that A and B reach there at the same time.
- A 100 m
- B 500 m
- C 125 m
- D 120 m
Answer & Solution
Correct Answer
(C) 125 m
Step-by-step Solution
Detailed explanation
\( \frac{D}{v_A} = \frac{D-100}{v_B} \) \( \frac{D}{5v_B} = \frac{D-100}{v_B} \) \( D = 5(D-100) \) \( D = 5D - 500 \) \( 4D = 500 \) \( D = 125 \text{ m} \)
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