Two trains, each $30 \mathrm{~m}$ long are travelling in opposite directions with velocities $5 \mathrm{~m}…

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. $4 \mathrm{~s}$
  2. $3 \mathrm{~s}$
  3. $2 \mathrm{~s}$
  4. $1 \mathrm{~s}$

Solution

Relative velocity of one train w. r. t other $=5+10$ $=15 \mathrm{~m} / \mathrm{s}$ Total length to cross $(\mathrm{L})=30+30=60 \mathrm{~m}$ $\therefore \quad t=\frac{L}{V}=\frac{60}{15}=4 s$

Asked in: MHT CET 2023 (10 May Shift 2)

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