When A runs 5 km, B can run 2 km. Initially A was 750 m behind B and they were running in the same direction. How much distance, in metres, must A run to cross B, if they start at the same time?

Question

Options: (A) 500 | (B) 750 | (C) 1250 | (D) 1500

ExamRobot · Accepted Answer

Correct answer: (C) 1250. Explanation: The ratio of the speeds of A and B is 5:2. Since they start at the same time and run until they meet, the distance covered by each person is directly proportional to their speed.Let the distance covered by A be 5x and the distance covered by B be 2x. The problem states that A starts 750 m behind B. For A to cross B, A must cover the initial gap of 750 m in addition to the distance B travels during the same time.Therefore, the difference in the distance covered by A and B is exactly the initial gap:5x - 2x = 7503x = 750x = 250The total distance A must run to cross B is 5x:5 × 250 = 1250 metres.

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When A runs 5 km, B can run 2 km. Initially A was 750 m behind B and they were running in the same direction. How much distance, in metres, must A run to cross B, if they start at the same time?

Explanation

SIMILAR QUESTIONS

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