SOLUTION: the steamboat makes the trip in 5 hours. The yacht makes the trip in 2.5 hours. the yacht is going 20 knots faster than the steamboat. for each boat the trip time multiplied by the

Question 958274: the steamboat makes the trip in 5 hours. The yacht makes the trip in 2.5 hours. the yacht is going 20 knots faster than the steamboat. for each boat the trip time multiplied by the speed equals the distance traveled. you know both boats will travel the same distance. how fast is each boat traveling in knots
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
r=steamboat's rate; r+20kn=yacht's rate
5r=2.5(r+20kn)
5r=2.5r+50kn Subtract 2.5r from each side.
2.5r=50kn Divide each side by 2,5
r=20kn ANSWER 1: The steamboats speed was 20 knots.
r+20kn=20kn+20kn=40kn ANSWER 2: The yacht's speed was 40 knots.
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