Question

train a is 280 m in length and train B is 370 m in length. A has a speed of 40 km /hour and B has a speed of 38 km/ hour . If they move in opposite directions , find the time A will take in passing B completely.

Answer 1

Time Taken by train A in passing the train B completely is "30 seconds".

Step-by-step explanation:

• We know that both the trains A and B are moving in opposite direction, so we can calculate the relative speed of the trains as:-

The relative speed = Sum of the speed of both trains

The relative speed = (40 + 38 ) Km/hr = 78 Km/hr

• Now we can calculate the total distance covered by the trains as:

Total distance covered = 280 m + 370 m  = 650 m$\textrm{Total distance covered in Km} = \dfrac{650}{1000} = 0.65 \ \textrm {Km}$

• Now we can calculate the time taken by train A to pass the train B as:

$\textrm {Time taken By train A} = \dfrac{Distance} {Speed}\\\textrm {Time taken By train A} = \dfrac {0.65 Km}{78 hr} \times 3600\ \text{sec}$

Time taken by Train A = 29.99 sec = 30 sec.

The time taken by the train A to pass the train B completely is approximately "30 seconds".