PLEASE solve this problem?
a fishing boat takes 3 hours to travel 15 miles off shore
to the fishing spot. it only takes 3/4 of an hour to return to shore. how fast could the boat travel in still water?
- SGT MontyLv 41 decade agoFavorite Answer
B be the speed of boat in still water
C be the speed of the current
We know from the information provided above that:
3 * (B - C) = 15
.75 * (B + C) = 15
(B - C) = 15/3 = 5
(B + C) = 15/.75 = 20
Solve for B in terms of C using the first equation:
B = C + 5
Substitute that into the second equation:
(C + 5) + C = 20
2C = 20 - 5
C = 15/2
C = 7.5
Use our newfound value of C in the first equation:
B - 7.5 = 5
B = 12.5
Therefore the boat in still water travels at 12.5 miles per hour.