A car takes 5 hours to reach a destination by travelling at the speed of 60 km/hr. How long will it take when the car travels at the speed of 75 km/hr?

Answer

To solve the problem step-by-step, we can use the concept of inverse proportion since speed and time are inversely related. Here's how to approach the question:

### Step 1: Understand the relationship between speed and time
When speed increases, the time taken to cover the same distance decreases. This means that speed and time are inversely proportional.

### Step 2: Identify the known values
- Speed 1 (S1) = 60 km/hr
- Time 1 (T1) = 5 hours
- Speed 2 (S2) = 75 km/hr
- Time 2 (T2) = ? (This is what we need to find)

### Step 3: Use the inverse proportion formula
Since speed and time are inversely proportional, we can express this relationship as:
\[ S1 \times T1 = S2 \times T2 \]

### Step 4: Substitute the known values into the equation
Substituting the known values into the formula gives us:
\[ 60 \times 5 = 75 \times T2 \]

### Step 5: Calculate the left side of the equation
Calculating the left side:
\[ 60 \times 5 = 300 \]

So, we have:
\[ 300 = 75 \times T2 \]

### Step 6: Solve for T2
To find T2, divide both sides by 75:
\[ T2 = \frac{300}{75} \]

### Step 7: Perform the division
Calculating the division:
\[ T2 = 4 \]

### Conclusion
The time taken to reach the destination when traveling at a speed of 75 km/hr is **4 hours**.

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