In his motorboat, bill ruhberg travels upstream at top speed to his favorite fishing spot, a distance of 120120 mi, in 33 hr. returning, he finds that the trip downstream, still at top speed, takes only 2.52.5 hr. find the rate of bill's boat and the speed of the current. let x = the rate of the boat in still water and y = the rate of the current.

The rate of the boat in still water is 44 mph and the rate of the current is 4 mph

Explanation:

x = the rate of the boat in still water

y = the rate of the current.

Distance travelled = 120 mi

Time taken upstream = 3 hr

Time taken downstream = 2.5 hr

Speed = Distance / Time

Speed upstream

Speed downstream

Adding both the equations

The rate of the boat in still water is 44 mph and the rate of the current is 4 mph

im not to sure what it is

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west