Speed of Deepak and Vinod are in the ratio of `19:12` respectively. If speed of Vinod is 84 km/hr, then what will be the speed of Deepak?

Options

A. 114 km/hr
B. 117 km/hr
C. 126 km/hr
D. 133 km/hr

Answer

To find the speed of Deepak given the ratio of speeds between Deepak and Vinod, we can follow these steps:

### Step 1: Understand the ratio
The speeds of Deepak and Vinod are given in the ratio of 19:12. This means that for every 19 parts of speed that Deepak has, Vinod has 12 parts.

### Step 2: Assign variables based on the ratio
Let the speed of Deepak be represented as \( 19x \) and the speed of Vinod as \( 12x \), where \( x \) is a common multiplier.

### Step 3: Use the given speed of Vinod
We know that the speed of Vinod is 84 km/hr. Therefore, we can set up the equation:
\[ 12x = 84 \]

### Step 4: Solve for \( x \)
To find \( x \), divide both sides of the equation by 12:
\[ x = \frac{84}{12} = 7 \]

### Step 5: Calculate the speed of Deepak
Now that we have the value of \( x \), we can find the speed of Deepak:
\[ \text{Speed of Deepak} = 19x = 19 \times 7 = 133 \text{ km/hr} \]

### Conclusion
The speed of Deepak is 133 km/hr.

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