document.write( "Question 571547: it takes bob the boy scout 10 hours to paddle upstream against the current a distance of 15 miles. when he turn around he finds it only takes him 5 hours to 'paddle 22.5 miles with current. how fast is bob's boat going in still water and what is the speed of the current of the river? \n" ); document.write( "
Algebra.Com's Answer #368113 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! it takes bob the boy scout 10 hours to paddle upstream against the current a distance of 15 miles. when he turn around he finds it only takes him 5 hours to 'paddle 22.5 miles with current. how fast is bob's boat going in still water and what is the speed of the current of the river? \n" ); document.write( "---- \n" ); document.write( "Upstream DATA: \n" ); document.write( "time = 10 hrs ; distance = 15 miles ; rate = d/t = 15/10 = 1.5 mph \n" ); document.write( "---------------- \n" ); document.write( "Downstream DATA: \n" ); document.write( "time = 5 hrs ; distance = 22 miles ; rate = d/t = 22/5 = 4.4 mph \n" ); document.write( "--------------- \n" ); document.write( "Equations: \n" ); document.write( "upstream: b-c = 1.5 mph \n" ); document.write( "downstream: b+c = 4.4 mph \n" ); document.write( "------------------------------- \n" ); document.write( "Add and solve for \"b\": \n" ); document.write( "2b = 5.9 mph \n" ); document.write( "b = 2.95 (speed of the boat in still water) \n" ); document.write( "--- \n" ); document.write( "Solve for \"c\": \n" ); document.write( "b + c = 4.4 \n" ); document.write( "2.95 + c = 4.4 \n" ); document.write( "c = 1.45 mph (speed of the current) \n" ); document.write( "============= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================= \n" ); document.write( " |