A train crosses two bridges that are 420 meters and 200 meters long in 60 seconds and 40 seconds respectively. What is the length of the train?

A

200 meters

B

240 meters

C

280 meters

D

300 meters

উত্তরের বিবরণ

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  1. Let the train length = x meters.
    Distances covered while crossing the bridges:

    • First bridge: x+420x + 420 meters

    • Second bridge: x+200x + 200 meters

  2. Time taken:

    • First bridge = 60 sec → speed = (x+420)/60(x + 420)/60

    • Second bridge = 40 sec → speed = (x+200)/40(x + 200)/40

  3. Since speed is constant:

x+42060=x+20040\frac{x + 420}{60} = \frac{x + 200}{40}

  1. Solve for x:

40(x+420)=60(x+200)40(x + 420) = 60(x + 200) 40x+16800=60x+1200040x + 16800 = 60x + 12000 20x=4800    x=24020x = 4800 \implies x = 240

Answer: The train is 240 meters long

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Updated: 1 month ago

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