document.write( "Question 131954: A motorboat travels 414km in 6 hours going upstream and 856km in 8 hours going downstream. What is the speed of the boat in still water, and what is the speed of the current? \n" ); document.write( "
Algebra.Com's Answer #96327 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A motorboat travels 414km in 6 hours going upstream and 856km in 8 hours going downstream. What is the speed of the boat in still water, and what is the speed of the current?
\n" ); document.write( "-------------------------
\n" ); document.write( "Let \"b\" be the speed of the boat and \"c\" be the speed of the current.
\n" ); document.write( "-------------------------
\n" ); document.write( "Upstream DATA:
\n" ); document.write( "Distance = 414 km ; time = 6 hrs; Rate = d/t = 414/6 = 69 kph
\n" ); document.write( "-----------------
\n" ); document.write( "Downsteam DATA:
\n" ); document.write( "Distance = 856 km ; time = 8 hrs; Rate = d/t = 856/8 = 107 kph
\n" ); document.write( "----------------
\n" ); document.write( "EQUATION:
\n" ); document.write( "b-c = 69
\n" ); document.write( "b+c = 107
\n" ); document.write( "---------
\n" ); document.write( "Add to get:
\n" ); document.write( "2b = 176
\n" ); document.write( "b = 88 kph (speed of the boat in still water)
\n" ); document.write( "----------
\n" ); document.write( "Substitute to solve for \"c\":
\n" ); document.write( "88+c = 107
\n" ); document.write( "c = 19 kph (speed of the current)
\n" ); document.write( "===============
\n" ); document.write( "Cheers,
\n" ); document.write( "stan H.
\n" ); document.write( " \n" ); document.write( "
\n" );