# Math

posted by .

Austin is in his pedal boat. It takes him 1.5 hours to travel 12 miles downstream and 6 hours to return. What is the rate of the current?

Please show me how to solve it as well, I really have no idea. Thanks.

• Math -

if boat speed = b, and river speed = r, then since speed = distance/time,

b+r = 12/1.5 = 8 (downstream)
b-r = 12/6 = 2 (upstream)

b=5,r=3

## Similar Questions

1. ### word problem

A motor boat took 4 hours to make a downstream trip with a current of 3mph. The return trip against the same current took 8 hours. Find the speed of the boat in still water. Call Y the boat's rate. distance = rate x time. downstream …
2. ### Math

Julie and Eric row their boat (at a constant speed) 21 miles downstream for 3 hours, helped by the current. Rowing at the same rate, the trip back against the current takes 7 hours. Find the rate of the current.
3. ### Math 111

It takes a motorboat 1 1/3 hours to go 20 miles downstream and 2 2/9 hours to return.Find the rate of the current andthe rate of the boat in still water.
4. ### Algebra 2

5.) A boat makes a trip downstream in 5 hours. The return trip against the current takes 12 hours. If the speed of the current is 3 1/2 km/h, what is the speed of the boat in still water?
5. ### Algebra

5.) A boat makes a trip downstream in 5 hours. The return trip against the current takes 12 hours. If the speed of the current is 3 1/2 km/h, what is the speed of the boat in still water?
6. ### MATH

A boat on a river travels 16 miles downstream in only 2 hours. It takes the same boat 7 hours to travel 28 miles upstream. What are the speed of the boat and the speed of the current?
7. ### Math

A tour boat on a river traveled 40 miles downstream in 4 hours. The return trip against the current took 5 hours. What was the rate of the current?
8. ### Algebra

The current of a river moves at 3 miles per hour. It takes a boat 3 hours to travel 12 miles upstream, against the current, and return the same distance traveling downstream, with the current. What is the boats rate in still water?
9. ### Algebra

It takes Tom five hours to travel 20 miles downstream. It takes him eight hours to travel the same distance back up stream. How fast is the boat?
10. ### College Algebra

A motorboat takes 5 hours to travel 100mi going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?

More Similar Questions