Set up and solve a rational equation that models the following situation answer with complete sentence

Question

It takes will 4 hours longer to paddle 42 km upstream then it takes him to paddle the same distance back downstream. The speed of the current is 4 km per hour. Determine Will's paddling speed in Stillwater. Let x represent Will's paddling speed in Stillwater.

Answer 1

Time taken down stream = t

Time taken upstream = t+4

Distance paddled each side = 42 Km

Speed in still water = X

Speed Upstream = X - 4 ( Speed relative to current)

Speed downstream = X +4

X=?

Speed = Distance /time

X- 4 = 42/(t -4)...... Eq 1

X+4 = 42/ ( t+4).... Eq 2

Solve these two equations for two variables X and t