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Same distance upstream and downstream in given times (or given effective speeds): boat speed, stream speed or their ratio

This type of question, asked 7 times: 18 Jul 2023 S2, 24 Jul 2023 S4, 25 Jul 2023 S2, 25 Jul 2023 S3, 12 Sep 2024 S3, 17 Sep 2024 S2, 23 Sep 2024 S3. All 8 questions below, oldest first.

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  1. Question 1

    18 Jul 2023 S2

    73
    To go a distance of 144 km upstream, a rower takes 12 hours while it takes her only 9 hours to row the same distance downstream. What is the speed of the stream?

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  2. Question 2

    24 Jul 2023 S4

    62
    A boat covers a distance of 80 km downstream in 8 h while it takes 10 h to cover the same distance upstream. What is the speed (in km/h) of the boat in still water?

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  3. Question 3

    25 Jul 2023 S2

    68
    A boat covers a distance of 12 km in 1 hour upstream and in 45 minutes downstream. Find the speed of the boat and the stream (in km/h).

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  4. Question 4

    25 Jul 2023 S3

    65
    A boat running upstream takes 10 hours to cover a certain distance, while it takes 7 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and that of the water current, respectively?

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  5. Question 5

    25 Jul 2023 S3

    69
    The effective speed of a boat is 15.2 km/h against the stream and 20.8 km/h along the stream. Find the speed of the stream.

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  6. Question 6

    12 Sep 2024 S3

    63
    A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along with the current in 10 minutes. How long will it take to go 6 km in stationary water?

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  7. Question 7

    17 Sep 2024 S2

    62
    A motorboat takes 18 hours to go downstream, and it takes 36 hours to return the same distance. Find the ratio of the speed of the boat in still water to the speed of the stream.

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  8. Question 8

    23 Sep 2024 S3

    59
    A boat covers a distance of 55 km downstream in 5 hours while it takes 11 hours to cover the same distance upstream. What is the speed of the boat?

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