Jamie trains on his surfs every weekend. He paddles upstream for 3 1/2 hours, and then returns downstream to the point where he started in 2 hours and 6 minutes. If the river flows at 3 km/h find:

a) his paddling speed in still water

2 answers

upstream speed = u - c
downstream speed = u + c

d = (u-c)(3.5) = (u+c)(2.1)
but c = 3
so
(u-3)(3.5)=(u+3)(2.1)

3.5 u - 10.5 = 2.1 u + 6.3

1.4 u = 16.8
a)paddling speed in still water
distance = 10.5 km upstream only
time =3.5 hours
s=d/t
10.5 divided by 3.5 = 3km/h
b)the distance he paddles upstream
distance=3.5 hours