SOLUTION: The clarke family went sailing on a lake. Their boat averaged 6 kilometers per hour. The rourke family took their outboard runabout for a trip on the lake for the same amount of t

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Question 566835: The clarke family went sailing on a lake. Their boat averaged 6 kilometers per hour. 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 kilometers farther thanthe clarke family. How many hours did each family spend on the their boat trip?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The clarke family went sailing on a lake.
Their boat averaged 6 kilometers per hour.
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 kilometers farther thanthe clarke family.
How many hours did each family spend on the their boat trip?
:
Let t = no. of hrs of each boat trip
:
Write a distance equation, dist = speed * time
;
14t = 6t + 20
14t - 6t = 20
8t = 20
t = 20/8
t = 2.5 hrs on the lake for each family
:
:
Check this by finding the distance each traveled
14(2.5) = 35 km
6(2.5) = 15
----------------
differs = 20 km