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 fi

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Question 1039753: 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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Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
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.
let c = the speed of the water
then
(18-c) effective speed upstream
and
(18+c) = effective speed down
Write a distance equation. dist = time * speed
down dist = up dist
2(18+c) = 2.5(18-c)
36 + 2c = 45 -2.5c
2c + 2.5c = 45 - 36
4.5c = 9
c = 9/4.5
c = 2 km/hr is the speed of the current
:
Also find the distance covered by the boat
2(18+2) = 40 km is the distance
confirm this upstream
2.5(18-2) = 40 km