A train can completely cross a 1000 metrn long bridge in 15 seconds It can completely cross another ...........

Quantitative Aptitude (MTS) Time & distance

A train can completely cross a 1000-metrn long bridge in 15 seconds. It can completely cross another 1300-metre long bridge

in 19 seconds. What is the length of the train?

This questions was previously asked in

SSC MTS 26th July 2022 Shift-3

125 meters

175 meters

150 meters

200 meters

Let's break down the problem:

- Let the length of the train be L meters and its speed be V meters/second.

- To completely cross a bridge, the train covers (bridge length + train length) at its speed.

- For the 1000-meter bridge: (L + 1000) = 15V

- For the 1300-meter bridge: (L + 1300) = 19V

- Subtracting these two equations:

(L + 1300) - (L + 1000) = 19V - 15V

300 = 4V

V = 75 m/s

- Substitute V back:

L + 1000 = 15 × 75 = 1125

L = 1125 - 1000 = 125 meters

Option 1: 125 meters

Option 2: 175 meters

Option 3: 150 meters

Option 4: 200 meters

Correct option is 1 (125 meters).

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