If two cars start at the same point and move along a straight road, Car X at a constant speed of 40 km/h and Car Y at a constant speed of 60 km/h, which statement correctly compares their motions after 2 hours?
Correct Answer :
Car Y will be 40 km ahead of Car X after 2 hours.
Solution :
The correct option is Car Y will be 40 km ahead of Car X after 2 hours.
Step 1: Understand the given data
We are given the speeds of two cars moving along a straight road from the same starting point:
- Speed of Car X,
- Speed of Car Y,
- Time elapsed,
Step 2: Calculate the distance traveled by Car X
Using the formula for distance covered at a constant speed, :
Step 3: Calculate the distance traveled by Car Y
Similarly, for Car Y:
Step 4: Compare their positions
To find how far ahead Car Y is from Car X, subtract the distance traveled by Car X from the distance traveled by Car Y:
Therefore, after 2 hours, Car Y will be 40 km ahead of Car X.
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