SOLUTION: A motorboat can go 48 miles downstream on a river in 1 hour. It takes 1.5 hours for this boat to go back upstream the same 48 miles. Find the speed of the current and the boat (in

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A motorboat can go 48 miles downstream on a river in 1 hour. It takes 1.5 hours for this boat to go back upstream the same 48 miles. Find the speed of the current and the boat (in       Log On

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Question 435782: A motorboat can go 48 miles downstream on a river in 1 hour. It takes 1.5 hours for this boat to go back upstream the same 48 miles. Find the speed of the current and the boat (in mph).
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Let x and c represent the speed of the boat and current respectively
Question states***
x + c = 48mph |r = D/t = 48mi/1hr
x - c = 32mph |r = 48mi/1.5hr
2x = 80mph
x = 40mph, speed of boat. The current is 8mph (48mph-40mph)