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Question: Answered & Verified by Expert
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
PhysicsMotion In One DimensionMHT CETMHT CET 2023 (10 May Shift 2)
Options:
  • A $4 \mathrm{~s}$
  • B $3 \mathrm{~s}$
  • C $2 \mathrm{~s}$
  • D $1 \mathrm{~s}$
Solution:
2699 Upvotes Verified Answer
The correct answer is: $4 \mathrm{~s}$
Relative velocity of one train w. r. t other $=5+0$
$=15 \mathrm{~m} / \mathrm{s}$
Total length to cross $(\mathrm{L})=30+30=60 \mathrm{~m}$
$\therefore \quad t=\frac{L}{V}=\frac{60}{15}=4 s$

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