Question

If the sum of the length of Trains is 380m and the time taken to cross each other in the same and in opposite directions is 38 seconds and 19 seconds respectively, find the speed of the faster train?
1. 54 km/hr
2. 50 km/hr
3. 144 km/hr
4. 36 km/hr
5. None of these

Answer 1

Correct Answer - Option 1 : 54 km/hr

GIVEN:

The sum of the length of Trains = 380 meter

Time taken to cross each other in the same direction = 38 seconds

Time taken to cross each other in opposite direction = 19 seconds

FORMULA USED:

⇒ Speed of Train = (Length of Train/Time taken)

ASSUMPTION:

Let the speed of Train A and B be (a) and (b) m/s.

CALCULATION:

When crossing in the opposite direction.

⇒ a + b = 380/19

⇒ a + b = 20 m/s      ----(1)

When crossing in the same direction.

⇒ a - b = 380/38

a - b = 10 m/s      ----(2)

Solving eq(1) and eq(2)

⇒ a = 15 m/s

⇒ b = 5 m/s

⇒ Speed of faster train = a = 15 m/s

⇒ Speed of faster train = a = 54 km/hr