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.