Model 4 Train Vs Pole/Signal Post/Man Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 6 EXERCISES

Top 10,000+ Aptitude Memory Based Exercises

The following question based on trains topic of quantitative aptitude

Questions : A train 150m long passes a telegraphic post in 12 seconds. Find the speed of the train.(in km/hr)

(a) 12.5

(b) 25

(c) 45

(d) 50

The correct answers to the above question in:

Answer: (c)

Distance covered by train in crossing a telegraphic post

= length of train

Speed of train = $\text"Distance"/ \text"Time"$

= $(150/12)$ m./sec.

= $(150/12 × 18/5)$ kmph = 45 kmph

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Read more crossing pole signal post man Based Quantitative Aptitude Questions and Answers

Question : 1

How long does a train, 75 metre long, moving at 60 km/hr take to pass a certain telegraph post?

a) 4.5 seconds

b) 5 seconds

c) 5.4 seconds

d) 3.5 seconds

Answer: (a)

Distance covered by train

= Length of train

Speed of train = 60 kmph

= $({60 × 5}/18)$ m./sec.

= $(50/3)$ m./sec.

Required time = $\text"Distance"/ \text"Speed"$

= $(75/{50/3})$ seconds

= ${75 × 3}/50$ seconds = 4.5 seconds

Question : 2

Buses start from a bus terminal with a speed of 20 km/hr at intervals of 10 minutes. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at intervals of 8 minutes?

a) 4 km/hr

b) 5 km/hr

c) 7 km/hr

d) 3 km/hr

Answer: (b)

Distance covered in 10 minutes at 20kmph

= distance covered in 8 minutes at (20 + x ) kmph

20 × $10/60 = 8/60 (20 + x)$

200 = 160 + 8x

8x = 40 ⇒ $x = 40/8$ = 5 kmph

Question : 3

A train, 120 m long, takes 6 seconds to pass a telegraph post; the speed of train is

a) 62 km/hr

b) 55 km/hr

c) 85 km/hr

d) 72 km/hr

Answer: (d)

Using Rule 1,

Speed of train

= $\text"Length of train"/ \text"Time taken in crossing the pole"$

= $120/6$ = 20 m/sec

= 20 × $18/5$ = 72 kmph

Question : 4

In what time will a train 100 metres long cross an electric pole, if its speed be 144 km/hour ?

a) 5 seconds

b) 12.5 seconds

c) 3$5/4$ seconds

d) 2.5 seconds

Answer: (d)

Using Rule 1,

Speed of the train = 144 kmph

= $144 × 5/18$ = 40 m/s

When a train crosses a pole, it covers a distance equal to its own length.

The required time

= $100/40 = 5/2$ = 2.5 seconds.

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