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?

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