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? asked in Science & MathematicsMathematics · 6 years ago

trig word problem SOS?

a motorboat travels 231 km in 7 hours going upstream. it travels 329 km going downstream in the same amount of time. what is the rate of the boat in still water and what is the rate of the current?

2 Answers

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  • ranjankar
    Lv 7
    6 years ago

    LET SPEED OF BOAT IN STILL WATER BE X MPH

    AND SPEED OF CURRENT BE Y MPH

    UPSTREAM SPEED = ( X-Y) MPH

    DOWNSTREAM SPEED =( X+Y) MPH

    SPEED = DISTANCE / TIME

    X- Y = 231/7 =33

    X +Y = 329/7 = 47

    ADD 2X = 80

    X = 40 MPH Y = 7 MPH ANSWER

    CHECK

    231 / ( 40-7) = 7 HOURS = 329 / (40+7)

  • Thomas
    Lv 7
    6 years ago

    v=d/t

    231/7=b-s and 329/7=b+s solving 1st for s=b-231/7 and using it in 2nd

    329/7=b+b-231/7

    329/7=2b-231/7

    2b=560/7

    b=40km/h

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