Posted by **sara** on Sunday, September 5, 2010 at 4:50am.

a boat goes 16 Km upstream and 24 Km downstream in 6hrs.it can go 12Km upstream and 36 Km in same time.find the speed of boat in still water and speed of the stream

- algebra -
**Andrew**, Sunday, September 5, 2010 at 5:21am
look at the algebraic equation that u posted previously. try to form an equation similar to that.

- algebra -
**drwls**, Sunday, September 5, 2010 at 5:30am
There is something inconsistent with the way this problem is stated. The ratio of upstream to downstream travel time should be independent of how far one travels. The second sentence is unecessary and inconsistent.

Let V be the speed in still water and v be the stream velocity

16/(V-v) = 6

24/(V+v) = 6

16 = 6V - 6v

24 = 6V + 6v

40 = 12V

V = 3.33 km/h

6v = 24 - 20 = 4 km/h

v = 0.67 km/h

## Answer This Question

## Related Questions

- algebra - a boat goes 16 Km upstream and 24 Km downstream in 6hrs.it can go 12Km...
- maths - A boat goes 12 km upstream and 40 km downstream in 8 hours. It can go ...
- math - a boat goes 12km upstream and 40km down stream in 8 hour it go 16km ...
- Intermediate Algebra - The speed of a boat in still water is 29mph. if the boat ...
- math - A boat travels 8km upstream and back in 2 hours. If the current flows at ...
- maths - A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours...
- Math (urgent) hw due tommorow! - The speed of a stream is 3 km/h. A boat travels...
- elem algebra - the current in a stream moves at a speed of 10 mph. a boat ...
- Algebra - Boat travels 10 mi upstream and 10 mi downstream the stream is moving ...
- math - The speed of a stream is 6 mph. If a boat travels 52 miles downstream in ...

More Related Questions