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MHT CET · Physics · Motion In One Dimension

Two trains, each \(30 \mathrm{~m}\) long are travelling in opposite directions with velocities \(5 \mathrm{~m} / \mathrm{s}\) and \(10 \mathrm{~m} / \mathrm{s}\). They will cross after

  1. A \(4 \mathrm{~s}\)
  2. B \(3 \mathrm{~s}\)
  3. C \(2 \mathrm{~s}\)
  4. D \(1 \mathrm{~s}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(4 \mathrm{~s}\)

Step-by-step Solution

Detailed explanation

Relative velocity of one train w. r. t other \(=5+0\)
\(=15 \mathrm{~m} / \mathrm{s}\)
Total length to cross \((\mathrm{L})=30+30=60 \mathrm{~m}\)
\(\therefore \quad t=\frac{L}{V}=\frac{60}{15}=4 s\)