# How Much Time Taken by the Slower Train to Cross Faster Train? If

Two goods trains each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.

- 12 seconds
- 24 seconds
- 48 seconds
- 60 seconds

**Answer: (3) 48 sec**

**Explanation:-**

The length of the each goods train = 500 m

The total length of two goods train = 500 + 500

= 1000 m

The speed of the first train = 45 km/hr

Speed in m/sec = 45 x 5/18

= 25/2 m/sec

The speed of second train = 30 km/hr

Speed in m/sec = 30 x 5/18

= 25/3 m/sec

Time taken by slower train to pass the driver of faster one = 1000/(25/2) + (25/3)

= 1000/(75 + 50)/6

= 1000/125/6

= 1000 x 6/125

= 8 x 6 = 48 sec

Hence, the answer is (3) 48 sec.