A car moving at a speed of 75 km/hr covers certain distance in 2 hours. If its speed is reduced by 15 km/hr, in what time it will cover the same distance?

Options

A. 155 minutes
B. 150 minutes
C. 140 minutes
D. 135 minutes

Answer

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

### Step 1: Calculate the distance covered by the car at the initial speed.
Given:
- Speed (S1) = 75 km/hr
- Time (t1) = 2 hours

Using the formula for distance:
\[ \text{Distance} (d) = \text{Speed} \times \text{Time} \]
\[ d = S1 \times t1 = 75 \, \text{km/hr} \times 2 \, \text{hr} = 150 \, \text{km} \]

### Step 2: Determine the new speed after reduction.
The speed is reduced by 15 km/hr:
\[ \text{New Speed} (S2) = S1 - 15 = 75 \, \text{km/hr} - 15 \, \text{km/hr} = 60 \, \text{km/hr} \]

### Step 3: Calculate the time taken to cover the same distance at the new speed.
Using the formula for time:
\[ \text{Time} (t2) = \frac{\text{Distance}}{\text{Speed}} \]
\[ t2 = \frac{d}{S2} = \frac{150 \, \text{km}}{60 \, \text{km/hr}} \]

### Step 4: Simplify the calculation for time.
\[ t2 = \frac{150}{60} = 2.5 \, \text{hours} \]

### Step 5: Convert the time from hours to minutes.
Since the options are given in minutes, we convert hours to minutes:
\[ t2 \text{ (in minutes)} = t2 \text{ (in hours)} \times 60 \]
\[ t2 = 2.5 \, \text{hours} \times 60 = 150 \, \text{minutes} \]

### Final Answer:
The time taken to cover the same distance at the reduced speed of 60 km/hr is **150 minutes**.

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