Math Problem Statement
Two cars start from the same point and travel in opposite directions. Car A travels at 50 mph and Car B travels at 60 mph. After 3 hours, how far apart are the cars?
Solution
The two cars are traveling in opposite directions, so the distance between them increases by the sum of their speeds.
- Car A travels at 50 mph.
- Car B travels at 60 mph.
After 3 hours:
- Distance covered by Car A = .
- Distance covered by Car B = .
Now, since they are traveling in opposite directions, the total distance between them is the sum of these distances:
So, after 3 hours, the cars are 330 miles apart.
Would you like more details or have any questions?
Here are 5 related questions:
- What if Car A traveled at 40 mph instead of 50 mph?
- How far apart would they be after 5 hours?
- If they started 10 miles apart, how would the result change?
- What if Car B traveled for 4 hours and Car A for only 3 hours?
- How would their distance change if both cars slowed down by 10 mph after 1 hour?
Tip: When two objects move in opposite directions, you can find the total distance by adding their individual distances.
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Math Problem Analysis
Mathematical Concepts
Speed and Distance
Addition of Distances
Linear Motion
Formulas
Distance = Speed × Time
Theorems
Relative Speed Theorem for Opposite Directions
Suitable Grade Level
Grades 5-7
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