John and Khan start together from a particular point in the opposite direction on motorcycle. The speed of John is 25 km/hr and Khan is 35 km/hr. What will be the distance between them after 15 minutes?

Options

A. 15 km
B. 20 km
C. 5 km
D. 10 km

Explanation

To solve the problem step by step, we will follow these calculations:

### Step 1: Determine the speeds of John and Khan
- John's speed = 25 km/hr
- Khan's speed = 35 km/hr

### Step 2: Calculate the relative speed
Since John and Khan are moving in opposite directions, we add their speeds to find the relative speed.
- Relative speed = John's speed + Khan's speed
- Relative speed = 25 km/hr + 35 km/hr = 60 km/hr

### Step 3: Convert the time from minutes to hours
The time given is 15 minutes. To convert this into hours:
- Time in hours = 15 minutes × (1 hour / 60 minutes) = 15/60 hours = 1/4 hours

### Step 4: Calculate the distance between John and Khan
Using the formula for distance:
- Distance = Speed × Time
- Distance = Relative speed × Time
- Distance = 60 km/hr × (1/4) hr = 60/4 km = 15 km

### Final Answer
The distance between John and Khan after 15 minutes is **15 km**.

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