A car covers the first 35km of its journey in 45 min and covers the remaining 69 km in 75min. What is the average speed of the car?

Options

A. 42km/h
B. 50km/h
C. 52km/h
D. 60km/h

Answer

To find the average speed of the car, we can follow these steps:

### Step 1: Calculate the total distance covered by the car.
The car covers two segments of the journey:
- First segment: 35 km
- Second segment: 69 km

**Total Distance (D)** = Distance of first segment + Distance of second segment
**D** = 35 km + 69 km
**D** = 104 km

### Step 2: Calculate the total time taken for the journey.
The time taken for each segment is:
- First segment: 45 minutes
- Second segment: 75 minutes

**Total Time (T)** = Time of first segment + Time of second segment
**T** = 45 min + 75 min
**T** = 120 min

### Step 3: Convert the total time from minutes to hours.
Since average speed is usually expressed in km/h, we need to convert the total time from minutes to hours.

**Total Time in hours** = Total Time in minutes / 60
**Total Time in hours** = 120 min / 60
**Total Time in hours** = 2 hours

### Step 4: Calculate the average speed.
Average speed is calculated using the formula:

**Average Speed (S)** = Total Distance / Total Time
**S** = 104 km / 2 hours
**S** = 52 km/h

### Final Answer:
The average speed of the car is **52 km/h**.

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