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Journey split into equal or fractional distances at different speeds: average speed

This type of question, asked 6 times: 21 Jul 2023 S4, 25 Jul 2023 S2, 10 Sep 2024 S1, 24 Sep 2025 S1, 26 Sep 2025 S2, 26 Sep 2025 S3. All 7 questions below, oldest first.

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  1. Question 1

    21 Jul 2023 S4

    75
    A car travels the first 160 km at a speed of 64 km/h and the next 160 km at a speed of 80 km/hr What is the average speed for the first 320 km of the tour?

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  2. Question 2

    25 Jul 2023 S2

    59
    Ramesh, on his way to his hometown, travelled the first 250 km at a speed of 75km/h and the next 250 km at a speed of 85 km/h. Find the average speed for the whole journey(correct to 2 decimal places).

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  3. Question 3

    10 Sep 2024 S1

    67
    A bus travels 13\frac{1}{3} of the distance initially at a speed of 40 km/h, the next 13\frac{1}{3} of the distance 50 km/h, and the final 13\frac{1}{3} of the distance at 60 km/h. Find the average speed of the bus for the entire journey. (Rounded off to two decimal places)

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  4. Question 4

    24 Sep 2025 S1

    53
    Jayesh covers one-fourth of his journey at 20 km/h, another one-fourth at 10 km/h, and the rest at 70 km/h. What is his average speed?

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  5. Question 5

    26 Sep 2025 S2

    61
    A train covers 3 equal distances at speeds in the ratio 4:5:64 : 5 : 6. What is the ratio of the average speed over the entire journey to the lowest speed?

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  6. Question 6

    26 Sep 2025 S2

    66
    A train travels the first 100 km at 50 km/h and the next 100 km at 25 km/h. What is the average speed for the total journey?

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  7. Question 7

    26 Sep 2025 S3

    59
    A car covers three equal distances at speeds of 30 km/h, 45 km/h, and 90 km/h, respectively. What is the average speed of the car for the entire journey?

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