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

Algebra ->  Equations -> 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       Log On


   



Question 231084: 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 than the clark family. how many hours did each family spend on 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 than the clark family.
how many hours did each family spend on their boat trip?
:
Let t = amt of time both spent on the lake
:
C's dist = 6t
R's dist = 14t
:
R's dist = C's dist + 20 km
14t = 6t + 20
14t - 6t = 20
8t = 20
t = 20%2F8
t = 2.5 hrs
;
:
Check solution on a calc, find the dist of each
14*2.5 = 35 km
6 *2.5 = 15 km
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differ = 20 km