SOLUTION: The Clarke family went sailing on a lake. Their boat averaged 6km per hr. The Rourke family took their outboard runabout for a trip on the lake for the same amount of time. Thei

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Question 300322: The Clarke family went sailing on a lake. Their boat averaged 6km per hr. The Rourke family took their outboard runabout for a trip on the lake for the same amount of time. Their boat averaged 14 kilometers per hour. The Rourke family traveled 20 km farther than the Clarke family. How many hours did each family spend on their boat trip?
Answer by Stitch(470)   (Show Source): You can put this solution on YOUR website!
Set-Up
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Let T = time in hours
Let X = distance
Equation 1: (Clarke family)
Equation 2: (Rourke family)
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Solution:
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Notice that equation 1 is already solved for X. Now you can plug 6T into equation 2 for X.
Equation 2:
Subtract 6T from both sides
Divide both sides by 8

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