A tractor can finish its journey in 8 hours at the speed of `60km//hr` speed. IF the same distance must be covered in 5 hours, what should be the speed of the tractor

Options

A. `96km//hr`
B. `90km//hr`
C. `80km//hr`
D. `86km//hr`

Answer

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

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

Given:
- Speed = 60 km/hr
- Time = 8 hours

So, we can calculate the distance (D):
\[ D = 60 \, \text{km/hr} \times 8 \, \text{hours} \]
\[ D = 480 \, \text{km} \]

### Step 2: Determine the Required Speed for the New Time
Now, we need to find the speed required to cover the same distance (480 km) in a different time (5 hours).

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

Here, the distance is still 480 km, and the new time (T') is 5 hours.

So, we can calculate the required speed (S'):
\[ S' = \frac{480 \, \text{km}}{5 \, \text{hours}} \]

### Step 3: Perform the Calculation
Now, we perform the division:
\[ S' = 96 \, \text{km/hr} \]

### Conclusion
The speed of the tractor should be 96 km/hr to cover the distance in 5 hours.

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