Read the information given below carefully and answer the questions.

Two buses start from the opposite points of a main road, 150kms apart. The first bus runs for 25 kms and takes a right turn and then runs for 15 kms. It then turns left and runs for another 25kms and takes the direction back to reach the main road. In the meantime, due to a minor breakdown, the other bus has run only 35 kms along the main road. What would be the distance between the two buses at this point?

The correct answer is 65kms.

Let us break down the movement of both buses step-by-step along the main road to find the final distance between them.

Step 1: Understand the initial positions

The total length of the main road between the starting points of the two buses is 150 km.

Let Point A be the starting point of the first bus, and Point B be the starting point of the second bus.

The total distance between Point A and Point B along the main road is:

$\text{Total Distance}=150\text{kms}$

Step 2: Track the movement of the First Bus

1. The first bus starts from Point A and runs for 25 kms along the main road towards Point B.

2. It takes a right turn and runs for 15 kms (moving away from the main road).

3. It turns left and runs for another 25 kms parallel to the main road towards Point B.

4. It takes the direction back to reach the main road.

Since the left turn and parallel run covered 25 kms towards Point B, when the bus returns to the main road, its total distance covered along the direction of the main road from Point A is:

$\text{Effective distance from Point A}=25\text{kms}+25\text{kms}=50\text{kms}$

Step 3: Track the movement of the Second Bus

The second bus starts from Point B and runs directly along the main road towards Point A for 35 kms before stopping due to a breakdown.

So, the distance covered by the second bus from Point B along the main road is:

$\text{Distance from Point B}=35\text{kms}$

Step 4: Calculate the remaining distance between the two buses

The total distance of the road is 150 kms. The combined effective distance covered by both buses towards each other along the main road is:

$\text{Total distance covered along main road}=50\text{kms}+35\text{kms}=85\text{kms}$

Now, subtract the combined distance from the total distance between Point A and Point B:

$\text{Distance between the two buses}=150\text{kms}-85\text{kms}=65\text{kms}$

Therefore, the distance between the two buses at this point is 65kms.