The river boat, Delta Duchess, paddled upstream at 12 km/h, stopped for 2 hours of sightseeing, and paddled back at 18 km/h. How far upstrea

Question

The river boat, Delta Duchess, paddled upstream at 12 km/h, stopped for 2 hours of sightseeing, and paddled back at 18 km/h. How far upstream did the boat travel if the total time for the trip, including the stop, was 7 hours?

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Sarah 3 months 2022-02-03T03:19:14+00:00 1 Answer 0 views 0

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    2022-02-03T03:21:03+00:00

    Answer:

    36 km

    Step-by-step explanation:

    Let time taken by upstream=x hours

    Upstream speed=12 km/h

    Time spend  for sightseeing=2 hours

    Total time=7 hours

    Traveling time=7-2=5 hours

    Time taken by downstream=5-x

    Downstream speed=18km/h

    Distance=[tex]speed\times time[/tex]

    Using the formula

    Distance traveled when Delta Duchess paddled upstream=12 x

    Distance traveled when  Delta Duchess paddled back=18(5-x)

    According to question

    [tex]12x=18(5-x)[/tex]

    [tex]12x=90-18x[/tex]

    [tex]12x+18x=90[/tex]

    [tex]30x=90[/tex]

    [tex]x=\frac{90}{30}=3 hours[/tex]

    Substitute the values

    Distance traveled when Delta Duchess paddled upstream=[tex]12\times 3=36 km[/tex]

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45:7+7-4:2-5:5*4+35:2 =? ( )