Question Details

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?

Options

A

Car Y will be 20 km ahead of Car X after 2 hours.

B

Car Y will be 40 km ahead of Car X after 2 hours.

C

Car X will be 40 km ahead of Car Y after 2 hours.

D

Both cars will have traveled the same distance after 2 hours.

Show Answer

Correct Answer :

Option B

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, vX = 40  km/h
- Speed of Car Y, vY = 60  km/h
- Time elapsed, t = 2  hours


Step 2: Calculate the distance traveled by Car X

Using the formula for distance covered at a constant speed, Distance = Speed × Time:

dX = 40  km/h × 2  hours = 80  km


Step 3: Calculate the distance traveled by Car Y

Similarly, for Car Y:

dY = 60  km/h × 2  hours = 120  km


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:

Difference = dY - dX = 120  km - 80  km = 40  km


Therefore, after 2 hours, Car Y will be 40 km ahead of Car X.

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