SOLUTION: Lumi rides her boat 13km upstream and back in the same period of time. She rides 30km downstream, if the rate (speed) of the current is 5km/h. Find the rate of lumi's boat in still

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Question 1117060: Lumi rides her boat 13km upstream and back in the same period of time. She rides 30km downstream, if the rate (speed) of the current is 5km/h. Find the rate of lumi's boat in still water.
Answer by ikleyn(53937) About Me  (Show Source):
You can put this solution on YOUR website!
.
13%2F%28u-5%29 + 13%2F%28u%2B5%29 = 30%2F%28u%2B5%29    <<<---=== it is your basic "time" equation


13%2F%28u-5%29 = 30%2F%28u%2B5%29 - 13%2F%28u%2B5%29


13%2F%28u-5%29 = 17%2F%28u%2B5%29


13*(u+5) = 17*(u-5)


13u + 65 = 17u - 85


65 + 85 = 17u - 13u


150 = 4u  ====>  u = 150%2F4 = 37.5.


Answer.  The rate of lumi's boat in still water is  37.5 km/h.

Solved.

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On similar problems, see the lessons
    - Wind and Current problems
    - More problems on upstream and downstream round trips
    - Wind and Current problems solvable by quadratic equations
    - Unpowered raft floating downstream along a river
    - Selected problems from the archive on the boat floating Upstream and Downstream
in this site.

Read them attentively and learn how to solve this type of problems once and for all.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the section "Word problems",  the topic "Travel and Distance problems".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.