A boat travelling at 6 m/s heads due north across a 106 meter wide river. If the east flowing current in the river is 2.5 m/s,to the nearest meter, how far east of it's starting position is the boat when it reaches the north shore?

1 Answer
Jan 15, 2016

44.17 meters

Explanation:

Sketch
The boat travels across the water at 6 m/s and will therefore cross 106 m in 106/6 seconds = 53/3 seconds
In that time the water travels 5/2*53/3 meters =265/6 meters

The boat therefore lands 44.17 meters east of its starting position.