A tractor can finish its journey in 10 hours at the speed of 36 km/hr. If the distance must be covered in 8hours, what should be the speed of the tractor?

Options

A. 60 km/hr
B. 50 km/hr
C. 45 km/hr
D. 55 km/hr

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Calculate the Distance
We know that distance can be calculated using the formula:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Given:
- Speed = 36 km/hr
- Time = 10 hours

So, the distance covered by the tractor is:
\[ \text{Distance} = 36 \, \text{km/hr} \times 10 \, \text{hours} = 360 \, \text{km} \]

### Step 2: Determine the Required Speed for the New Time
Now, we need to find out what speed the tractor must maintain to cover the same distance (360 km) in a different time (8 hours).

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

We can rearrange it to find the speed:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]

### Step 3: Substitute the Values
Now we substitute the known values into the equation:
- Distance = 360 km
- Time = 8 hours

So,
\[ \text{Speed} = \frac{360 \, \text{km}}{8 \, \text{hours}} \]

### Step 4: Perform the Calculation
Now, we perform the division:
\[ \text{Speed} = 45 \, \text{km/hr} \]

### Conclusion
To cover the distance of 360 km in 8 hours, the tractor must travel at a speed of 45 km/hr.

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