SOLUTION: a boat covers a certain distance downstream in 2 hours.it covers the same distance upstream in 2.5 hours. the speed of the boat i 18 km/hr. find the speed of the water. also find

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Question 1039654: a boat covers a certain distance downstream in 2 hours.it covers the same distance upstream in 2.5 hours. the speed of the boat i 18 km/hr. find the speed of the water. also find the distance covered by the boat
Answer by ikleyn(52769) About Me  (Show Source):
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A boat covers a certain distance downstream in 2 hours.it covers the same distance upstream in 2.5 hours.
The speed of the boat i 18 km/hr.
Find the speed of the water. Also find the distance covered by the boat
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Base equations are

D%2F%2818%2Bw%29 = 2      (1)    (the time downstream)
D%2F%2818-w%29 = 2.5    (2)    (the time upstream).

Hence,  2*(18+w) = 2.5*(18-w).

It is your equation to find w, the speed of the current, in km%2Fh.

When you find w, calculate D, the distance, from any equation (1) or (2).

For various problems on floating upstream and downstream the river see 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
in this site.