Abhinav leaves mumbai at 6 am and reaches Banglore at 10 am parveen leaves Banglore at 8 am and reaches mumbai at 11:30 am.At what time do they cross each other?

Options

A. 8:56 am
B. 9:56 am
C. 11am
D. 8:56 pm

Answer

To solve the problem of when Abhinav and Parveen cross each other, we can follow these steps:

### Step 1: Determine the total distance between Mumbai and Bangalore.
Abhinav travels from Mumbai to Bangalore in 4 hours, and Parveen travels from Bangalore to Mumbai in 3.5 hours. We can assume the distance is constant for both journeys.

### Step 2: Calculate the speed of Abhinav.
Abhinav travels 28 units (the assumed distance) in 4 hours.
- Speed of Abhinav = Distance / Time = 28 units / 4 hours = 7 units per hour.

### Step 3: Calculate the speed of Parveen.
Parveen travels 28 units in 3.5 hours.
- Speed of Parveen = Distance / Time = 28 units / 3.5 hours = 8 units per hour.

### Step 4: Determine the time at which both start their journeys.
- Abhinav leaves Mumbai at 6 AM.
- Parveen leaves Bangalore at 8 AM.

### Step 5: Calculate the distance covered by Abhinav by the time Parveen starts.
From 6 AM to 8 AM, Abhinav travels for 2 hours.
- Distance covered by Abhinav = Speed × Time = 7 units/hour × 2 hours = 14 units.

### Step 6: Calculate the remaining distance between Abhinav and Parveen when Parveen starts.
The total distance is 28 units, and Abhinav has covered 14 units.
- Remaining distance = Total distance - Distance covered by Abhinav = 28 units - 14 units = 14 units.

### Step 7: Determine the relative speed when both are moving towards each other.
- Combined speed = Speed of Abhinav + Speed of Parveen = 7 units/hour + 8 units/hour = 15 units/hour.

### Step 8: Calculate the time taken to cover the remaining distance.
- Time to cross each other = Remaining distance / Combined speed = 14 units / 15 units/hour = 14/15 hours.

### Step 9: Convert the time into minutes.
14/15 hours = 56 minutes.

### Step 10: Determine the time at which they cross each other.
Parveen starts at 8 AM. Adding 56 minutes to 8 AM gives us:
- 8:00 AM + 56 minutes = 8:56 AM.

### Final Answer:
Abhinav and Parveen cross each other at **8:56 AM**.

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