# Problems on Trains Question & Answers

## Problems on Trains

Quantitative aptitude questions are asked in many competitive exams and placement exam. 'Problems on Trains' is a category in Quantitative Aptitude. Quantitative aptitude questions given here are extremely useful for all kind of competitive exams like Common Aptitude Test (CAT), MAT, GMAT, IBPS Exam, CSAT, CLAT, Bank Competitive Exams, ICET, UPSC Competitive Exams, CLAT, SSC Competitive Exams, SNAP Test, KPSC, XAT, GRE, Defense Competitive Exams, L.I.C/ G. I.C Competitive Exams, Railway Competitive Exam, TNPSC, University Grants Commission (UGC), Career Aptitude Test (IT Companies) and etc., Government Exams etc.

We have a large database of problems on "Problems on Trains" answered with explanation. These will help students who are preparing for all types of competitive examinations.

A man sitting in a train which is traveling at 50 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed.?

 A) 60 B) 62 C) 64 D) 65

Explanation:

Relative speed =$\inline \fn_jvn \frac{280}{9}$  m / sec = $\inline \fn_jvn (\frac{280}{9}\times \frac{18}{5})$ kmph = 112 kmph.

Speed of goods train = (112 - 50) kmph = 62 kmph.

Subject: Problems on Trains - Quantitative Aptitude - Arithmetic Ability

11

Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds?

 A) 48 B) 24 C) 38 D) 36

Explanation:

Less Cogs $\inline \fn_jvn \Rightarrow$ more turns and less time $\inline \fn_jvn \Rightarrow$ less turns

$\inline \fn_jvn \begin{matrix} & Cogs& Time&Turns \\ A& 54& 45 &80 \\ B& 32& 8& ? \end{matrix}$

Number of turns required=80 ×$\inline \fn_jvn \frac{54}{32}$ ×$\inline \fn_jvn \frac{8}{45}$ = 24 times

Subject: Problems on Trains - Quantitative Aptitude - Arithmetic Ability

11

A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train ?

 A) 69.5 km/hr B) 70 km/hr C) 79 km/hr D) 79.2 km/hr

Explanation:

Let the length of the train be x metres and its speed by y m/sec.
Then,$\inline \fn_jvn \frac{x}{y}=8\Rightarrow x=8y$
Now, $\inline \fn_jvn \frac{x+264}{20}=y$
$\inline \fn_jvn \Rightarrow$8y + 264 = 20y
$\inline \fn_jvn \Rightarrow$y = 22.
$\inline \fn_jvn \therefore$Speed = 22 m/sec =$\inline \fn_jvn \left ( 22\times \frac{18}{5} \right )$km/hr = 79.2 km/hr.

Subject: Problems on Trains - Quantitative Aptitude - Arithmetic Ability

22

Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?

 A) 10 B) 25 C) 12 D) 20

Explanation:

Speed of train 1 = $\inline \fn_jvn \left ( \frac{120}{10} \right )m/sec$ = 12 m/sec

Speed of train 2 =$\inline \fn_jvn \left ( \frac{120}{15} \right )m/sec$  = 8 m/sec

if they travel in opposite direction, relative speed = 12 + 8 = 20 m/sec

distance covered = 120 + 120 = 240 m

time = distance/speed = 240/20 = 12 sec

Subject: Problems on Trains - Quantitative Aptitude - Arithmetic Ability

6

Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:

 A) 9 B) 9.6 C) 10 D) 10.8