SOLUTION: A motorboat travels
549km
in
9
hours going upstream and
606km
in
6
hours going downstream. What is the rate of the boat in still water and what is the rate of the c
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-> SOLUTION: A motorboat travels
549km
in
9
hours going upstream and
606km
in
6
hours going downstream. What is the rate of the boat in still water and what is the rate of the c
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Question 895409: A motorboat travels
549km
in
9
hours going upstream and
606km
in
6
hours going downstream. What is the rate of the boat in still water and what is the rate of the current? Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! A motorboat travels 549km in 9 hours going upstream and 606km in 6 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
***
let x=rate of boat in still water
let c=rate of current
(x+c)=rate of boat downstream
(x-c)=rate of boat downstream
travel time*rate=distance
9(x-c)=549
6(x+c)=606
..
9x-9c=549
6x+6c=606
..
18x-18c=1098(mult. by 2)
18x+18c=1818(mult. by 3)
add
36x=2916
x=81
9c=9x-549=729-549=180
c=20
rate of boat in still water=81 km/hr
rate of current=20 km/hr
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