Quantitative Aptitude Ques 1780

Question: A train covers certain distance between two places at a uniform speed. If the train moved 10 km/h faster, it would take 2 h less and if the train were slower by 10 km/h, it would take 3 h more than the scheduled time. Find the distance covered by the train.

Options:

A) 300 km

B) 600 km

C) 800 km

D) 1200 km

E) None of these

Show Answer

Answer:

Correct Answer: E

Solution:

  • Let length of both train and platform be x. Distance covered by the train to cross the platform $ =x+x=2x $ Time = 1 min = 60 s and speed $ 90km/h=90\times \frac{5}{18}=25m/s $

$ \therefore $ $ Distance=Speed\times Time $

$ \Rightarrow $ $ 2x=25\times 60 $

$ \Rightarrow $ $ x=750m $ $ =75000km $