SOLUTION: A pleasure boat sets out for a cruise on a river, sailing upstream 7 miles and then turning around and returning to port. The trip upstream requires 60 minutes and the trip downstr

Question 1076229: A pleasure boat sets out for a cruise on a river, sailing upstream 7 miles and then turning around and returning to port. The trip upstream requires 60 minutes and the trip downstream requires 11 minutes. Find the speed of the boat in still water and the speed of the current in miles per hour (mi/h). Round to the nearest whole number.
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
Sailing upstream for 7 miles takes 1 hour, or an average rate of 7 miles per hour. Sailing downstream for 7 miles takes 11 minutes, or 11/60 of an hour, making an average rate of 38-2/11 mph. So, let b be the speed of the boat, and c be the speed of the current. Then:
b-c=7 or 77/11
b+c=420/11
Then:
2b=77+420/11
b=497/22=22.591 mph
c=343/22=15.591 mph
☺☺☺☺
RELATED QUESTIONS
A river cruise boat sailed 96 miles down the Mississippi River for four hours. It took... (answered by ikleyn)

A boat heads out to sea from a port that sits along a straight shoreline. The boat heads... (answered by Earlsdon)

A river boat tour begins by going 60 miles upstream against a 5 mph current. Then the... (answered by ankor@dixie-net.com)

a river boat tour begins by going 60 miles upstream against a 5 mph current. Then the... (answered by mananth)

A pleasure boat carries passengers 10 miles upstream and then returns to the starting... (answered by bucky)

A boat on a river travels 48 miles downstream in only 4 hours. It takes the same boat 7... (answered by Katiebug24)

A cruise boat travels 96 miles downstream for 2 hours and returns to its starting point... (answered by stanbon)

A motorboat can go 48 miles downstream on a river in 1 hour. It takes 1.5 hours for this... (answered by ewatrrr)

A boat on a river travels 24 miles downstream in only 3 hours. It takes the same boat 5... (answered by mananth)