Aditya covered 48 km distance at 40 km/hr and rest 52 km at 65 km/hr. Find his average speed.

Options

A. 50 km/hr
B. 55 km/hr
C. 60 km/hr
D. 45 km/hr

Answer

To find Aditya's average speed over the entire journey, we can follow these steps:

### Step 1: Calculate the total distance
Aditya covers two distances:
- First distance = 48 km
- Second distance = 52 km

**Total Distance = 48 km + 52 km = 100 km**

### Step 2: Calculate the time taken for each part of the journey
To find the average speed, we need to calculate the time taken for each segment of the journey.

**Time for the first part:**
- Distance = 48 km
- Speed = 40 km/hr
- Time = Distance / Speed = 48 km / 40 km/hr = 1.2 hours

**Time for the second part:**
- Distance = 52 km
- Speed = 65 km/hr
- Time = Distance / Speed = 52 km / 65 km/hr = 0.8 hours

### Step 3: Calculate the total time taken
Now, we add the time taken for both parts of the journey.

**Total Time = Time for first part + Time for second part = 1.2 hours + 0.8 hours = 2 hours**

### Step 4: Calculate the average speed
Now that we have the total distance and total time, we can calculate the average speed using the formula:

**Average Speed = Total Distance / Total Time = 100 km / 2 hours = 50 km/hr**

### Final Answer
Aditya's average speed is **50 km/hr**.

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