The distance between two places A and B is 60 km.Two cars start at the same time from A and B, travelling at a speed of 35 km/h and 25 km/h, respectively. If the cars run in the same direction, then they will meet after (in hour).

Options

A. 6.5
B. 6.2
C. 6
D. 6.52

Answer

To solve the problem, we need to determine how long it will take for the two cars to meet when they are traveling in the same direction. Here’s a step-by-step solution:

### Step 1: Identify the speeds of the cars
- Car A travels at a speed of 35 km/h.
- Car B travels at a speed of 25 km/h.

### Step 2: Determine the relative speed
Since the cars are moving in the same direction, we need to calculate the relative speed. The relative speed is the difference between the speeds of the two cars.

\[ \text{Relative Speed} = \text{Speed of Car A} - \text{Speed of Car B} = 35 \text{ km/h} - 25 \text{ km/h} = 10 \text{ km/h} \]

### Step 3: Calculate the time taken to meet
To find the time it takes for the two cars to meet, we can use the formula:

\[ \text{Time} = \frac{\text{Distance}}{\text{Relative Speed}} \]

The distance between the two cars when they start is 60 km.

\[ \text{Time} = \frac{60 \text{ km}}{10 \text{ km/h}} = 6 \text{ hours} \]

### Final Answer
The two cars will meet after **6 hours**.

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