Ram and John start from a place 'A'walking at 4 km and `5(1)/(2)` km per hour respectively. How many km will they be apart at the end of `3(1)/(2)` hours: if they walk in oppo site directions?

Options

A. 33 km
B. 33.5 km
C. 33.25 km
D. 33.01 km

Explanation

To solve the problem step by step, we need to calculate the distance each person travels and then find the total distance between them since they are walking in opposite directions.

### Step 1: Identify the speeds of Ram and John
- Ram's speed = 4 km/h
- John's speed = 5.5 km/h

**Hint:** Make sure to convert any mixed numbers to improper fractions or decimals for easier calculations.

### Step 2: Identify the time they are walking
- Time = 3.5 hours

**Hint:** Ensure that the time is in hours since the speeds are given in km/h.

### Step 3: Calculate the distance traveled by Ram
- Distance = Speed × Time
- Distance traveled by Ram = 4 km/h × 3.5 hours = 14 km

**Hint:** Remember to multiply the speed by the time to find the distance.

### Step 4: Calculate the distance traveled by John
- Distance traveled by John = 5.5 km/h × 3.5 hours = 19.25 km

**Hint:** Use the same formula (Distance = Speed × Time) for John as you did for Ram.

### Step 5: Calculate the total distance apart
- Total distance apart = Distance traveled by Ram + Distance traveled by John
- Total distance apart = 14 km + 19.25 km = 33.25 km

**Hint:** Since they are walking in opposite directions, you need to add the distances together.

### Final Answer
At the end of 3.5 hours, Ram and John will be apart by **33.25 km**.