A man is walking at a speed of 10kmph. After every km, he takes a rest for 5 minutes. How much time will be take to cover a distance of 5km?

Options

A. 60 minutes
B. 50 minutes
C. 40 minutes
D. 70 minutes

Answer

To solve the problem step by step, we will calculate the total time taken by the man to cover a distance of 5 km, considering both his walking time and rest time.

### Step 1: Calculate the walking time without rest
The formula to calculate time is:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
Here, the distance is 5 km and the speed is 10 km/h.

\[ \text{Time} = \frac{5 \text{ km}}{10 \text{ km/h}} = \frac{1}{2} \text{ hours} \]

### Step 2: Convert the walking time into minutes
Since we need the time in minutes, we convert hours to minutes:
\[ \frac{1}{2} \text{ hours} = 30 \text{ minutes} \]

### Step 3: Calculate the number of rests taken
The man takes a rest after every 1 km. For a distance of 5 km, he will take rests after 1 km, 2 km, 3 km, and 4 km. Thus, he will take a total of 4 rests.

### Step 4: Calculate the total rest time
Each rest lasts for 5 minutes. Therefore, the total rest time is:
\[ \text{Total Rest Time} = \text{Number of Rests} \times \text{Rest Time per Rest} \]
\[ \text{Total Rest Time} = 4 \times 5 \text{ minutes} = 20 \text{ minutes} \]

### Step 5: Calculate the total time taken
Now, we add the walking time and the total rest time to find the total time taken:
\[ \text{Total Time} = \text{Walking Time} + \text{Total Rest Time} \]
\[ \text{Total Time} = 30 \text{ minutes} + 20 \text{ minutes} = 50 \text{ minutes} \]

### Final Answer
The total time taken to cover a distance of 5 km is **50 minutes**.

---