# A train ,130 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds.

A train ,130 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is

## Answer/Solution

245 m

### Steps/Work

length of the bridge = x meter

Total distance covered = 130+x meter

total time taken = 30s

speed = Total distance covered /total time taken = (130+x)/30 m/s

= 45 × (10/36) = (130+x)/30

= 45 × 10 × 30 /36 = 130+x

= 45 × 10 × 10 / 12 = 130+x

= 15 × 10 × 10 / 4 = 130+x

= 15 × 25 = 130+x = 375

= x = 375-130 =245

Total distance covered = 130+x meter

total time taken = 30s

speed = Total distance covered /total time taken = (130+x)/30 m/s

= 45 × (10/36) = (130+x)/30

= 45 × 10 × 30 /36 = 130+x

= 45 × 10 × 10 / 12 = 130+x

= 15 × 10 × 10 / 4 = 130+x

= 15 × 25 = 130+x = 375

= x = 375-130 =245