A car covers a certain distance in `1` hr `30` minutes at `60` km per hour. If it moves at `45` km per hour, It will take ______ hours.

Options

A. `7`
B. `5`
C. `2`
D. `8`

Answer

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

### Step 1: Convert the time from hours and minutes to hours only.
The car takes `1 hour 30 minutes`. We need to convert this into hours.

1 hour = 1 hour
30 minutes = 30/60 hours = 0.5 hours

So, `1 hour 30 minutes = 1 + 0.5 = 1.5 hours`.

### Step 2: Calculate the distance covered by the car.
We know the speed of the car is `60 km/h` and the time taken is `1.5 hours`.

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

Substituting the values:
\[ \text{Distance} = 60 \, \text{km/h} \times 1.5 \, \text{h} = 90 \, \text{km} \]

### Step 3: Determine the time taken to cover the same distance at a different speed.
Now, we need to find out how long it will take to cover the same distance of `90 km` at a speed of `45 km/h`.

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

Substituting the values:
\[ \text{Time} = \frac{90 \, \text{km}}{45 \, \text{km/h}} = 2 \, \text{hours} \]

### Final Answer:
The car will take **2 hours** to cover the same distance at `45 km/h`.

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