Free Practice Question
PS · Problem Solving
505-555
Distance/Rate Problems
A boat travels a distance of 20 km in 2.5 hours when moving downstream and in 5 hours when going upstream. What is the speed of the boat in still water?
Answer Choices
Correct answer marked belowA
2 km/hr
B
4 km/hr
6 km/hr
Correct
D
8 km/hr
E
10 km/hr
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Explanation
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Official Explanation
Official
Let V be the speed of the boat and x be the speed of the stream. To find the speed of the boat in still water, we set up the equations: (V + x) * 2.5 = 20 and (V - x) * 5 = 20. From the first…
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Comments
2
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J
JakeNov 16, 2024
This is definitely a test-day trap
M
MuhammadJan 10, 2025
thank you very much!
What this question tests
What it tests
Your application of distance = rate × time to trains, boats, and commuters, including relative speed.
Common trap
Mixing units (miles per hour vs. minutes) or averaging speeds — average speed is total distance over total time.
Details
Difficulty
505-555
Type
PS
Category