342,292 views
11 votes
11 votes
in still water , your small boat averages 8 miles per hour. it takes you the same amount of time to travel 15 miles downstream , with the current , as 9 miles upstream , against the current. what is the rate of the water's current?

User Rjacks
by
2.9k points

1 Answer

17 votes
17 votes

Answer:

in still water, a boat averages 8 miles per hour. It takes the same amount of time to travel 30 miles downstream, with the current, as 18 miles upstream, against the current. What is the rate of the water's current.

Explanation:

Let c=speed of current in mph

c+8=speed of boat downstream in mph

c-8=speed of boat upstream in mph

Travel time= distance/speed

30/8+c=18/8-c

240-30c=144+18c

48c=96

c=2 mph

ans

rate of water's current = 2 mph

User Benjamin Gimet
by
3.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.