Question

A man running with a speed of 15 m/s crosses a goods train coming from the opposite direction in 30 seconds. If the speed of the train is 108 km/h then calculate the number of goods compartment in the goods train. Length of each compartment is 5 m.

1. 210
2. 230
3. 270
4. 250
5. 260

Answer 1

Correct Answer - Option 3 : 270

Given:

Speed of man = 15 m/s 

Time taken by good train to cross the man = 30 seconds 

Speed of the train = 108 km/h 

Length of each compartment = 5 m

Formula:

Relative speed while in opposite direction = sum of the speeds

Distance = Speed × Time

Speed in km/h to m/s = multiply by 5/18

Calculation:

Speed of good train in m/s = 108 × 5/18 = 30 m/s

Relative speed = (15 + 30) m/s = 45 m/s

Distance covered is length of the train

Distance = 45 × 30 = 1350 m

Length of train = 1350 m

Number of compartments = 1350/5

∴ Number of compartments is 270