Free Practice Question
PS · Problem Solving
505-555
Distance/Rate Problems
A vehicle journeyed from Seattle to Portland in 5 hours at an average speed of x miles per hour. If the vehicle returned along the same path at an average speed of y miles per hour, what was the total time taken for the round trip, in minutes?
Answer Choices
Correct answer marked below(5 + 5x/y)*60
Correct
B
(5 + 5y/x)*60
C
25(x + y)
D
5(x + y)
E
(x + y)/300
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Explanation
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Official Explanation
Official
A vehicle journeyed from Seattle to Portland in 5 hours at an average speed of x miles per hour. The distance from Seattle to Portland can be calculated as (time)(rate), which gives us a distance of (5)(x) = 5x miles. The vehicle then returned along the same route at an average speed of y miles per hour. The time taken to drive back from Portland to Seattle is given by the…
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2
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S
SukanayaJan 7, 2025
Thankss
D
DukeFeb 3, 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