A car covers a distance of `2 km` in `2.5` minutes. If it covers half of the distance with speed `40km//hr`, the rest distance it shall cover with a speed of `:`

Options

A. `56km//hr`
B. `60km//hr`
C. `48km//hr`
D. `50km//hr`

Explanation

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

### Step 1: Understand the total distance and time
The total distance covered by the car is `2 km`, and the total time taken is `2.5 minutes`.

### Step 2: Calculate half of the distance
Half of the total distance is:
\[ \text{Half distance} = \frac{2 \text{ km}}{2} = 1 \text{ km} \]

### Step 3: Calculate the time taken to cover the first half of the distance
The car covers this half distance of `1 km` at a speed of `40 km/hr`. We can use the formula:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
Substituting the values:
\[ \text{Time} = \frac{1 \text{ km}}{40 \text{ km/hr}} = \frac{1}{40} \text{ hr} \]
To convert this into minutes, we multiply by `60` (since `1 hr = 60 minutes`):
\[ \text{Time} = \frac{1}{40} \times 60 = \frac{60}{40} = 1.5 \text{ minutes} \]

### Step 4: Calculate the remaining time
The total time is `2.5 minutes`, and the time taken to cover the first half is `1.5 minutes`. Therefore, the remaining time is:
\[ \text{Remaining time} = 2.5 \text{ minutes} - 1.5 \text{ minutes} = 1 \text{ minute} \]

### Step 5: Determine the distance to be covered in the remaining time
The remaining distance to be covered is also `1 km` (since half of the total distance is `1 km`).

### Step 6: Calculate the speed for the remaining distance
Now, we can find the speed for the remaining distance using the formula:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
Substituting the values:
\[ \text{Speed} = \frac{1 \text{ km}}{1 \text{ minute}} = \frac{1 \text{ km}}{\frac{1}{60} \text{ hr}} = 60 \text{ km/hr} \]

### Conclusion
The speed at which the car shall cover the remaining distance is `60 km/hr`.

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