SOLUTION: A boat is traveling east across a river that is 112 meters wide at 8 meters per second. If the river has a northward current of 5 meters per second, what is the resultant speed of

Algebra.Com
Question 1155074: A boat is traveling east across a river that is 112 meters wide at 8 meters per second. If the river has a northward current of 5 meters per second, what is the resultant speed of the motorboat rounded to the nearest tenth?
1). 9.4 m/s
2). 3.0 m/s
3). 8.6 m/s
4). 13.0 m/s
This problem confused me because it is not an upstream / downstream problem. The directions, east and west, are not opposite of each other.

Answer by ikleyn(52800)   (Show Source): You can put this solution on YOUR website!
.

Right angled triangle with one leg of 8 units directed across the river and the other leg of 5 units directed along the rive (current (!)).


The resulting speed is the HYPOTENUSE   = 9.433 m/s.


ANSWER.  Option A)

Solved, explained and completed.

----------------

It is about the vector rule of adding velocity vectors.


RELATED QUESTIONS

The discharge of a river is defined as the width of the river times the average depth of... (answered by ankor@dixie-net.com)
A long straight river, 100 meters wide, is flowing at 1 meter per sec. A pollutant is... (answered by stanbon)
A long straight river, 100 meters wide, is flowing at 1 meter per sec. A pollutant is... (answered by ikleyn)
Mary needs to row her boat across a 120 m -wide river that is flowing to the east at a... (answered by ikleyn,josgarithmetic)
the discharge of a river equals the product of its width, its average depth and its... (answered by ankor@dixie-net.com)
A boat is traveling at an average speed of 15 meters per second. How many kilometers is... (answered by solver91311,richwmiller)
A car traveling at 50 kilometers per hour crosses a bridge over a river 10 minutes before (answered by Alan3354,ikleyn)
A boat is traveling across a river in a straight line from point a to point b. If the... (answered by josmiceli)
Ann is driving a motorboat across a river that 2 km wide. The boat has a speed of 20 km/h (answered by Theo)