Question

two trains having length 200m and 332 m are running in the opposite direction with velocities 54 km/h and 72 km/h in whatbtime they will completely cross each other​

Answer 1

Given:

The length of the two trains are 200 m and 332 m respectively

The velocities of the two trains are 54 km/hr and 72 km/hr

To find:

In what time they will completely cross each other​?

Solution:

Let's assume,

"L₁" → length of the first train = 200 m

"L₂" → length of the second train = 332 m

"S₁" → velocity of the first train = 54 km/hr = $54 \times \frac{5}{18} \:m/s$ = 15 m/s

"S₂" → velocity of the second train = 72 km/hr = $72 \times \frac{5}{18} \:m/s$ = 20 m/s

To solve the above-given problem we will use the following formula:

$\boxed{\bold{Time = \frac{Total\:length}{Total\:speed} }}$

Here,

Total length = L₁ + L₂ = 200 + 332 = 532 m

and

Total Speed = S₁ + S₂ = 15 + 20 = 35 m/s ...... [since the two trains are running in opposite direction]

Now, substituting the values in the formula, we get

$Time = \frac{532}{35} = 15.2 \:s$

Thus, the two trains completely cross each other in 15.2 s.

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