SOLUTION: A rowing team rowing with the current traveled 12 km in 2 h. Rowing against the current, the team rowed 10 km in the same amount of time. Find the rate of the rowing team in calm

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Question 1054327: A rowing team rowing with the current traveled 12 km in 2 h. Rowing against the current, the team rowed 10 km in the same amount of time.
Find the rate of the rowing team in calm water and the rate of the current.

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Concept and form of problem are the same:
https://www.algebra.com/algebra/homework/equations/Equations.faq.question.1054332.html

The system of equations was presented there and nothing more. You should be able to do the same, and then solve the system. YOUR system will be with different values for given data, but otherwise, these problems are the same type and solutions steps would be the same.

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
A rowing team rowing with the current traveled 12 km in 2 h. Rowing against the current, the team rowed 10 km in the same amount of time.
Find the rate of the rowing team in calm water and the rate of the current.
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Answer. 5.5 km%2Fh and 0.5 km%2Fh.

Solution

Similar problem was solved under this link
https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-word-problems.faq.question.1054176.html

https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-word-problems.faq.question.1054176.html

Consider it as a sample. Read it attentively.
Then solve your problem by substituting your data.


It is a typical Upstream and Downstream trips word problem.
You can find similar fully solved similar problems on Upstream and Downstream trips with detailed solutions in the lessons
    - Wind and Current problems
    - More problems on upstream and downstream round trips
    - Selected problems from the archive on the boat floating Upstream and Downstream

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".