A boat traveled 294 miles downstream and back. The trip downstream took 14 hours. The trip back took 294 hours. Find the speed of the boat in still water and the speed of the current.

Question

anonymous · Answer

boat speed = v1
current speed = v2


downstream the total speed is (v1+v2)
on the trip back the total speed is (v1-v2)

s = d/t

d = 294
t = 14 while downstream 
t = 294 while "upstream" 


so now all you need is to solve this system of equations:

v1+v2 = 294/14
v1-v2 = 294/294

anonymous · Answer

Can you show me in numbers how to solve the system of equations

anonymous · Answer

v1+v2 = 294/14 
v1-v2 = 294/294


v1+v2 = 21 
v1-v2 = 1


v1+v2 = 21 
v1 = 1+ v2


(1+ v2) +v2 = 21 
v1 = 1+ v2


2*v2 = 21 -1
v1 = 1+ v2


v2 = 20/2 = 10
v1 = 1 + v2 = 1+10 = 11


V2 = 10 mph
V1 = 11 mph