Two trains running between Bangalore and Chennai start at the same time from their respective locati...........

Quantitative Aptitude (CPO) Time & distance

Two trains, running between Bangalore and Chennai, start at the same time from their respective locations and proceed

towards each other at the speed of 80km/h and 95km/h. When they meet, it is found that one train has travelled 180km more

than the other.The distance between Bangalore and Chennai is _______.

This questions was previously asked in

SSC CPO 10th Nov 2022 Shift 1

1200 km

2100 km

345km

400 km

- Let's call the distance traveled by the first train \( x \) km.

- Since the second train travels 180 km more, it will be \( x + 180 \) km.

- The time taken for both trains to meet is the same.

- For the first train: time = \( \frac{x}{80} \) hours.

- For the second train: time = \( \frac{x + 180}{95} \) hours.

- Equating the time for both trains:

\frac{x}{80} = \frac{x + 180}{95}

- Solve for \( x \):

95x = 80(x + 180)

95x = 80x + 14400

15x = 14400

x = 960

- So, the first train travels 960 km.

- The second train travels \( 960 + 180 = 1140 \) km.

- The total distance = \( 960 + 1140 = 2100 \) km.

- Correct Answer: Option 2 - 2100 km

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