A ship tracked for 4 hours heading south and for 5 hours heading west. If the total distance traveled was 191 miles and the ship traveled 4 miles per hour faster heading west at what speed was the ship traveling west?

Answers (1)
  1. Aviyah
    Given that the ship was traveling for 4 mph faster heading west than south then let the speed of the ship heading south be x mph, the speed of the ship heading west will be (x+4) mph

    the distance is given by:

    distance=speed*time

    distance heading south was:

    x*4=4x miles

    distance heading west was:

    5 (x+4) = 5x+20

    thus the total distance will be given by:

    4x + (5x+20) = 191

    9x+20=191

    9x=191-20

    9x=171

    x=171/9

    x=19 mph

    the speed the ship used to travel west was:

    x+4

    =19+4

    =21 mph
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