SOLUTION: Kathryn left the mall and drove toward the lake at an average speed of 52km/h. Jenny left three hours later and drove in the opposite direction with an average speed of 60km/h. How

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Question 1142948: Kathryn left the mall and drove toward the lake at an average speed of 52km/h. Jenny left three hours later and drove in the opposite direction with an average speed of 60km/h. How long does Jenny need to drive before they are 380km apart?
Answer by ikleyn(52817) About Me  (Show Source):
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            I assume that Jenny left the same mall . . .


Let t = How long does Jenny need to drive before they are 380km apart.


Then the time for Kathryn = (t + 3) hours.


Jenny's distance is  60*t kilometers.


Kathryn's distance is 52*(t+3) kilometers.


They move in opposite directions, so the distance between them is the sum of particular distances.


    60t + 52*(t+3) = 380  kilometers.


Simplify and solve for t.

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For introductory lessons on Travel and Distance problems, see
    - Travel and Distance problems
    - Travel and Distance problems for two bodies moving in opposite directions
    - Travel and Distance problems for two bodies moving in the same direction (catching up)

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