Car X and Y start at the same time at speeds of 12 kmph and 16kmph. Find the distance between them after 3 minutes.
A.200 m
B.150 m
C .180 m
D. 120 m

Options

A. B
B. C
C. A
D. D

Answer

To solve the problem, we need to find the distance between two cars, X and Y, after 3 minutes, given their speeds. Let's break it down step by step.

### Step 1: Identify the speeds of the cars
- Speed of Car X = 12 km/h
- Speed of Car Y = 16 km/h

### Step 2: Calculate the relative speed
The distance between the two cars after a certain time can be calculated using their relative speed. The relative speed is the difference in their speeds:
- Relative Speed = Speed of Car Y - Speed of Car X
- Relative Speed = 16 km/h - 12 km/h = 4 km/h

### Step 3: Convert time from minutes to hours
Since the speeds are in km/h, we need to convert the time from minutes to hours.
- Time = 3 minutes = 3/60 hours = 1/20 hours

### Step 4: Calculate the distance using the formula
Distance can be calculated using the formula:
\[ \text{Distance} = \text{Relative Speed} \times \text{Time} \]
Substituting the values we have:
- Distance = 4 km/h × (1/20) hours = 4/20 km = 1/5 km

### Step 5: Convert the distance from kilometers to meters
To convert kilometers to meters, we multiply by 1000 (since 1 km = 1000 m):
- Distance in meters = (1/5) km × 1000 m/km = 200 m

### Final Answer
The distance between the two cars after 3 minutes is **200 meters**.