53.6k views
1 vote
A boat's crew rowed 13.5 miles downstream, with the current, in 1.5 hours. The return trip upstream, against the current, covered the same distance, but took 4.5 hours. Find the crew's rowing rate in still water and the rate of the current.

User Sambath
by
8.0k points

1 Answer

3 votes
v - the crew rowing rate,
u - rate of the current.
Downstream: v + u = 13.5/1.5 = 9 mph
Upstream : v - u = 13.5/4.5 = 3 mph
u = 9 - v
v - ( 9 - v ) = 3
v - 9 + v = 3
2 v = 12
v = 6 mph, u = 9 - 6 = 3 mph
Answer: the crew`s rowing rate is 6 mph and the rate of the current is 3 mph.
User Chagbert
by
8.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories