A car take 6 hours to reach a distination by travelling at the speed of 50 km per hour. How long will it take when the car travels at the speed of 75 km per hour ?

Answer

To solve the problem step by step, we will use the relationship between speed, distance, and time. The formula we will use is:

\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]

### Step 1: Calculate the Distance
First, we need to find the distance the car travels when it takes 6 hours at a speed of 50 km/h.

Using the formula:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Substituting the values:
\[ \text{Distance} = 50 \, \text{km/h} \times 6 \, \text{hours} = 300 \, \text{km} \]

### Step 2: Calculate the Time at the New Speed
Now, we need to find out how long it will take to travel the same distance of 300 km at a speed of 75 km/h.

Using the formula:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

Substituting the values:
\[ \text{Time} = \frac{300 \, \text{km}}{75 \, \text{km/h}} = 4 \, \text{hours} \]

### Final Answer
The time taken by the car to travel the distance of 300 km at a speed of 75 km/h is **4 hours**.

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