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Late at one speed, early at another: distance

The same question, asked 2 times: 13 Sep 2025 S2*, 15 Sep 2025 S3. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    13 Sep 2025 S2

    70
    A person travels from city A to city B. If he travels at a speed of 50 km/h, he arrives 1 hour early. If he travels at a speed of 30 km/h, he arrives 1 hour late. What is the distance (in km) between city A and city B?

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  2. Question 2

    15 Sep 2025 S3

    69
    A student walks from his home to school at a speed of 4 km/h and reaches 15 minutes late. If he increases his speed to 6 km/h, he reaches 5 minutes early. What is the distance (in km) from his home to school?

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