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Question

Two trains with their speeds in the ratio $$3:4$$ are going in opposite directions along parallel tracks. If each takes $$3$$ seconds to cross a telegraph post, then the time taken by the trains to cross each other completely will be


A
3 sec
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B
4 sec
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C
7 sec
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D
21 sec
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Solution

The correct option is A $$3$$ sec
Length of Ist train $$=3x \times.3=9x$$
Length of IInd train $$=4x\times 3=12x$$
Total distance $$=21x$$
Speed $$=4x+3x=7x$$
$$\therefore$$ time$$=\cfrac { 21x }{ 7x } =3 sec$$

Mathematics

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