Multiple choice

A passenger train of length 60 m travels at a speed of $80 km/hr$. Another freight train of length $120m$ travels at a speed of $30km/hr$. The ratio of times taken by the passenger train to completely cross the freight train when: (1)they are moving in the same direction, and (ii) in the opposite directions is____?

  1. $\dfrac { 5}{ 2 } $
  2. $\dfrac { 25}{ 11 } $
  3. $\dfrac { 3}{ 2 } $
  4. $\dfrac { 11}{ 5 } $
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D Correct answer
AI explanation

The total distance to cross each other is the sum of their lengths, giving 60 m plus 120 m equal to 180 m. When moving in the same direction, their relative speed is 80 km/hr minus 30 km/hr, which equals 50 km/hr, making the time taken 180 divided by 50. When moving in opposite directions, their relative speed is 80 km/hr plus 30 km/hr, equaling 110 km/hr, making the time taken 180 divided by 110. The ratio of these times is (180 divided by 50) divided by (180 divided by 110), which simplifies to 11 divided by 5.

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