Question:medium
A train of length $L$ moves with a constant speed $V_t$. A person at the back of the train fires a bullet at time $t=0$ towards a target which is at a distance of $D$ (at time $t=0$) from the front of the train (on the same direction of motion). Another person at the front of the train fires another bullet at time $t=T$ towards the same target. Both bullets reach the target at the same time. Assuming the speed of the bullets, $V_b$, are same, the length of the train is
A train of length $L$ moves with a constant speed $V_t$. A person at the back of the train fires a bullet at time $t=0$ towards a target which is at a distance of $D$ (at time $t=0$) from the front of the train (on the same direction of motion). Another person at the front of the train fires another bullet at time $t=T$ towards the same target. Both bullets reach the target at the same time. Assuming the speed of the bullets, $V_b$, are same, the length of the train is
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In relative motion problems, carefully track distances at different times and use consistent reference frames.
Updated On: May 1, 2026
- $T \times (V_b + 2V_t)$
- $T \times (V_b + V_t)$
- $2T \times (V_b + V_t)$
- $2T \times (V_b - V_t)$
- $T \times (V_b - V_t)$
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The Correct Option is B
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