SOLUTION: A boat traveled downstream a distance of 48 miles and then came right back. If the speed of the current was 12 mph and the total trip took 5 hours and 20 mins, find the average spe

Question 1165518: A boat traveled downstream a distance of 48 miles and then came right back. If the speed of the current was 12 mph and the total trip took 5 hours and 20 mins, find the average speed of beat relative to water.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39621) (Show Source): You can put this solution on YOUR website!
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A boat traveled downstream a distance of 48 miles and then came right back. If the speed of the current was 12 mph and the total trip took 5 hours and 20 mins, find the average speed of beat relative to water.
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A boat traveled downstream a distance of d miles and then came right back. If the speed of the current was c mph and the total trip took t hours, find the average speed r, of beat relative to water.
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The unknown variable is r, and the other variables are for given values. SPEED TIME DISTANCE DOWNST r+c d/(r+c) d UPSTR r-c d/(r-c) d TOTAL t

Solve this equation for r;

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Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!

A boat traveled downstream a distance of 48 miles and then came right back. If the speed of the current was 12 mph and the total trip took 5 hours and 20 mins, find the average speed of beat relative to water.

Bemow you'll find the correct setup and CORRECT answer.
Let boat's average speed be S
Then the time gong downstream = , and time spent going upstream =
We get the following TIME equation:
---- Factoring out GCF, 16, in numerator
3(3)(S - 12) + 3(3)(S + 12) = (S + 12)(S - 12) ------ Multiplying by LCD, 3(S + 12)(S - 12)

0 = (S - 24)(S + 6)
0 = S - 24 or 0 = S + 6
Speed of boat, or or - 6 = S (ignore)
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