Math Question is description

Question

The Gulf Stream is a warm ocean current that extends from the eastern side of the Gulf of Mexico up through the Florida Straits and along the southeastern coast of the United States to Cape Hatteras, North Carolina. A boat travels with the current 110mi

 from Miami, Florida, to Freeport, Bahamas, in 5hr

. The return trip against the same current takes 13 3/4 hr

Questions to answer_____Find the speed of the boat in still water and the speed of the current.

Answer 1

110 miles

with the current 5 hours

against the current 13 3/4 hours = 13.75 hrs

speed of boat in still water, speed of the current?

d=rt

distance = rate of speed times time

110 = 5(r+c) = 13.75(r-c)

r+c = 110/5 = 22

r-c = 110/13.75 = 22/2.75 = 4.4/.55 = 40/5 =8

add them to eliminate one variable, c

2r = 22 + 22/2.75

r = 11 +4 = 15 mph = rate of speed of the boat in still water

r+c= 22

c = 22-15 = 7 miph = current's speed