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# 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?

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- SGT MontyLv 41 decade agoFavorite Answer
Let:

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

or

(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.

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