SOLUTION: A boat travels for 3 hours with the current at speed of 10kph and returns the same distance against the current an hour more. Determine the boat's speed in still water.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A boat travels for 3 hours with the current at speed of 10kph and returns the same distance against the current an hour more. Determine the boat's speed in still water.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 896685: A boat travels for 3 hours with the current at speed of 10kph and returns the same distance against the current an hour more. Determine the boat's speed in still water.
Answer by thesvw(77) About Me  (Show Source):
You can put this solution on YOUR website!
Lets find the distance.
3%2A10+=+30 km
Velocity of the boat against current = 30/4 kph
Boat velocity with current = Boat velocity (V) + current velocity (C)
10+=+V+%2B+C
And against current ..
30%2F4+=+V+-+C
Add both equations
10+%2B30%2F4+=+2V
70%2F4+=+2V
V+=+70%2F8+=+8.75 kph