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Two journeys mixing upstream and downstream distances with total times: boat or stream speed

This type of question, asked 6 times: 20 Jul 2023 S1, 24 Jul 2023 S1, 24 Jul 2023 S4, 26 Jul 2023 S1, 13 Sep 2024 S1, 18 Sep 2024 S1. All 6 questions below, oldest first.

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  1. Question 1

    20 Jul 2023 S1

    71
    A boat can go 60 km downstream and 40 km upstream in 12 hours 30 minutes. It can go 84 km downstream and 63 km upstream in 18 hours 54 minutes. What is the speed (in km/h, to the nearest integer) of the boat in still water?

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  2. Question 2

    24 Jul 2023 S1

    54
    A boat can cover 120 km upstream and back in a total of 30 hours, and 25 km upstream and 40 km downstream in a total of 7 hours. How much distance will the boat cover in 16 hours in still water?

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  3. Question 3

    24 Jul 2023 S4

    64
    Dharmendra can row 80 km upstream and 110 km downstream in 13 hours. Also, he can row 60 km upstream and 88 km downstream in 10 hours. What is the speed (in km/h) of the current?

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  4. Question 4

    26 Jul 2023 S1

    58
    A boat goes 20 km upstream and 44 km downstream in 8 hours. In 5 hours, it goes 15 km upstream and 22 km downstream. Determine the speed of the boat in still water.

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  5. Question 5

    13 Sep 2024 S1

    72
    A boat can travel 78 km upstream and back in a total of 32 hours. It can travel 15 km upstream and 52 km downstream in a total of 9 hours. How much distance will the boat cover in 12 hours in still water?

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  6. Question 6

    18 Sep 2024 S1

    69
    A motorboat travelling at some speed can cover 24 km upstream and 40 km downstream in 17 hours. At the same speed it can travel 32 km downstream and 12 km upstream in 10 hours. The speed of the stream is:

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