The speed of car M is twice that of car W. If car M covers 120 km in 2 hrs & 30 mins, what is the speed of car W ?

Options

A. 36 kmph
B. 48 kmph
C. 24 kmph
D. 42 kmph

Answer

To find the speed of car W, we will follow these steps:

### Step 1: Calculate the speed of car M
The speed of a vehicle is calculated using the formula:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
Here, car M covers a distance of 120 km in 2 hours and 30 minutes.

### Step 2: Convert time into hours
2 hours and 30 minutes can be converted into hours:
\[ 2 \text{ hours} + \frac{30 \text{ minutes}}{60} = 2 + 0.5 = 2.5 \text{ hours} \]

### Step 3: Substitute the values into the speed formula
Now we can substitute the distance and time into the speed formula:
\[ \text{Speed of car M} = \frac{120 \text{ km}}{2.5 \text{ hours}} \]

### Step 4: Perform the division
Calculating the speed:
\[ \text{Speed of car M} = \frac{120}{2.5} = 48 \text{ km/h} \]

### Step 5: Relate the speed of car M to car W
According to the problem, the speed of car M is twice that of car W:
\[ \text{Speed of car M} = 2 \times \text{Speed of car W} \]
We already found that the speed of car M is 48 km/h. Therefore, we can set up the equation:
\[ 48 = 2 \times \text{Speed of car W} \]

### Step 6: Solve for the speed of car W
To find the speed of car W, divide both sides of the equation by 2:
\[ \text{Speed of car W} = \frac{48}{2} = 24 \text{ km/h} \]

### Conclusion
The speed of car W is 24 km/h.