Free Practice Question
PS · Problem Solving
555-605
Distance/Rate Problems
Two trains are moving towards each other at speeds of 80 mph and 40 mph. What is the distance between them one minute prior to their collision?
Answer Choices
Correct answer marked belowA
1 mile
B
1.67 miles
2 miles
Correct
D
2.67 miles
E
none of the above
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Explanation
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Official Explanation
Official
🧮 Full Step-by-Step Explanation
Relative Speed:
Because the trains are moving toward each other, we add their speeds:
80+40=120Â mph
Time Before Collision:
We are asked to find how far apart they are 1 minute before they meet.
Since speeds are in mph, we convert 1 minute = 1/60 hour.
Distance = Rate × Time:…
Relative Speed:
Because the trains are moving toward each other, we add their speeds:
80+40=120Â mph
Time Before Collision:
We are asked to find how far apart they are 1 minute before they meet.
Since speeds are in mph, we convert 1 minute = 1/60 hour.
Distance = Rate × Time:…
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Comments
2
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T
TuanAug 18, 2024
Can someone explain it other way?
G
GabrielApr 13, 2025
Great
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
555-605
Type
PS
Category