SOLUTION: A motorboat takes
5
hours to travel
100km
going upstream. The return trip takes
2
hours going downstream. What is the rate of the boat in still water and what is the ra
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-> SOLUTION: A motorboat takes
5
hours to travel
100km
going upstream. The return trip takes
2
hours going downstream. What is the rate of the boat in still water and what is the ra
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Question 1062795: A motorboat takes
5
hours to travel
100km
going upstream. The return trip takes
2
hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
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A motorboat takes 5 hours to travel 100 km going upstream.
The return trip takes 2 hours going downstream.
What is the rate of the boat in still water and what is the rate of the current?
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Your equations are
u - v = (1) (the speed moving upstream)
u + v = (2) (the speed moving downstream)
Or, which is the same
u - v = 20,
u + v = 50.
Add the two equations. You will get
2u = 20 + 50 = 70 ---> u = = 35 mph is the boat rate in still water.
Distract the first eq. from the second. You will get
2v = 50-20 = 30 ---> v = = 15 mph is the current rate.
