A man covers first 48 km of his journey in 40 minutes and next 32 km in 35 minutes. Find his average speed.

Options

A. 74 km/hr
B. 70 km/hr
C. 67 km/hr
D. 64 km/hr

Answer

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

### Step 1: Calculate the Total Distance
The man covers two segments of his journey:
- First segment: 48 km
- Second segment: 32 km

**Total Distance = 48 km + 32 km = 80 km**

### Step 2: Calculate the Total Time
Next, we need to calculate the total time taken for the journey:
- Time taken for the first segment: 40 minutes
- Time taken for the second segment: 35 minutes

**Total Time = 40 minutes + 35 minutes = 75 minutes**

### Step 3: Convert Total Time to Hours
Since average speed is typically expressed in kilometers per hour (km/h), we need to convert the total time from minutes to hours.

**Total Time in Hours = 75 minutes ÷ 60 = 1.25 hours**

### Step 4: Calculate Average Speed
Now, we can calculate the average speed using the formula:

**Average Speed = Total Distance ÷ Total Time**

Substituting the values we found:

**Average Speed = 80 km ÷ 1.25 hours = 64 km/h**

### Final Answer
The average speed of the man is **64 km/h**.

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