A car runs at a speed of 40 km/hr when not serviced and runs at 60 km/hr when serviced. After servicing the car covers a certain distance in 5 hours. How much time will the car take to cover the same distance when not serviced?

Options

A. 8 hours
B. 7.5 hour
C. 6 hours
D. 7 hours

Answer

To solve the problem step by step, we will first find the distance covered by the car when it is serviced and then determine how long it will take to cover that same distance when it is not serviced.

### Step 1: Calculate the distance covered after servicing
The formula to calculate distance is:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Given:
- Speed when serviced = 60 km/hr
- Time taken after servicing = 5 hours

Now, we can calculate the distance:
\[ \text{Distance} = 60 \, \text{km/hr} \times 5 \, \text{hours} \]
\[ \text{Distance} = 300 \, \text{km} \]

### Step 2: Calculate the time taken to cover the same distance when not serviced
Now, we need to find out how long it will take to cover the same distance (300 km) when the car is not serviced.

Given:
- Speed when not serviced = 40 km/hr

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

We can substitute the values:
\[ \text{Time} = \frac{300 \, \text{km}}{40 \, \text{km/hr}} \]
\[ \text{Time} = 7.5 \, \text{hours} \]

### Final Answer
The car will take **7.5 hours** to cover the same distance when not serviced.

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