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Journey in parts at different speeds: total time, distance or average speed

This type of question, asked 3 times: 29 Jan 2022 Tier II, 6 Mar 2023 Tier II, 26 Oct 2023 Tier II. All 4 questions below, oldest first.

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  1. Question 1

    29 Jan 2022 Tier II

    39
    The ratio of the distance between two places A and B to the distance between places B and C is 3 : 5. A man travels from A to B at a speed of x km/h and from B to C at a speed of 50 km/h. If his average speed for the entire journey is 40 km/h, then what is the value of (x −- 10) : (x + 1)?

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  2. Question 2

    29 Jan 2022 Tier II

    57
    A student goes to school at a speed of 5125\frac{1}{2} km/h and returns at a speed of 4 km/h. If he takes 4344\frac{3}{4} hours for the entire journey, then the total distance covered by the student (in km) is:

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  3. Question 3

    6 Mar 2023 Tier II

    9
    Reshma covers 45 km at a speed of 15 km/h by bicycle, 80 km at a speed of 40 km/h by car, and another 6 km at a speed of 2 km/h on foot. Find her average speed for the whole journey (correct to 2 decimal places).

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  4. Question 4

    26 Oct 2023 Tier II

    15
    Vipin travels one-third of the distance of a journey at a speed of 30 km/h and the remaining distance at a speed of 40 km/h. If he took a total of 12 hours to complete the journey, what was the total distance (in km) of the journey?

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