Quantitative Aptitude Ques 1587

Question: A and B are two stations 1000 km apart. A train starts from A and moves towards B at 40 km/h. Another train starts from B at the same time and moves towards A at 60 km/h. How far from A will they cross each other?

Options:

A) 350 km

B) 400 km

C) 525 km

D) 300 km

E) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the two trains cross each other at C. Let the train A reach the point C after x h. and the train B reach the point C after y h. Then, $ 4x+60y=1000 $ … (i) and $ \frac{x+y}{2}=\frac{1000}{60+40}=\frac{1000}{100}=10 $

$ \Rightarrow $ $ x+y=20 $ … (ii) Solving for x and y, $ x=10 $ and $ y=10 $

$ \therefore $ Train from A will cross B after $ x\times 40=400km $

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