# 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&#39;s starting position is the boat when it reaches the north shore?

$44.17$ meters
The boat travels across the water at $6$ m/s and will therefore cross $106$ m in $\frac{106}{6}$ seconds $= \frac{53}{3}$ seconds
In that time the water travels $\frac{5}{2} \cdot \frac{53}{3}$ meters $= \frac{265}{6}$ meters
The boat therefore lands $44.17$ meters east of its starting position.