Model 1 Train Vs Train in same direction Section-Wise Topic Notes With Detailed Explanation And Example Questions

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The following question based on trains topic of quantitative aptitude

Questions : Two trains start from a certain place on two parallel tracks in the same direction. The speed of the trains are 45 km/hr and 40 km/ hr respectively. The distance between the two trains after 45 minutes will be

(a) 2 km 750 m

(b) 3 km 750 m

(c) 3 km 250 m

(d) 2 km 500 m

The correct answers to the above question in:

Answer: (b)

Relative speed

= 45– 40 = 5 kmph

Required distance

= $(5 × 45/60)$ km

= $15/4$ km = 3 km 750

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Read more trains in same direction Based Quantitative Aptitude Questions and Answers

Question : 1

A policeman goes after a thief who has 100 metres start, if the policeman runs a kilometre in 8 min, and the thief a km in 10 min, the distance covered by thief before he is over-powered is

a) 400 m

b) 320 m

c) 420 m

d) 350 m

Answer: (a)

Relative speed

= $1000/8 – 1000/10$

= ${5000 – 4000}/40 = 1000/40$ m/minute

Required time

= $100/{1000/40} = 4000/1000$ = 4 m/minute

Distance covered by the thief

= $1000/10 × 4 = 400$ metres

Question : 2

A thief steals a car at 1.30 p.m. and drives it off at 40 km/hr. The theft is discovered at 2 p.m. and the owner sets off in another car at 50 km/hr. He will overtake the thief at

a) 4 p.m.

b) 4.30 p.m.

c) 6 p.m.

d) 5 p.m.

Answer: (a)

Distance covered by the thief in half an hour

= $1/2 × 40$ = 20 km

Relative speed of car owner

= 50 – 40 = 10 km

Required time

= $\text"Difference of distance"/ \text"Relative speed"$

= $20/10$ = 2 hours

i.e. at 4 p.m.

Question : 3

How much time does a train, 50 m long, moving at 68 km/ hour take to pass another train, 75 m long, moving at 50 km/ hour in the same direction ?

a) 10 seconds

b) 20 seconds

c) 25 seconds

d) 5 seconds

Answer: (c)

Both trains are moving in the same direction.

Their relative speed

= (68 – 50) kmph = 18 kmph

= 18 × $5/8$ = 5 m/sec

Total length

= 50 + 75 = 125 m

Required time

= $\text"Total length"/ \text"Relative speed"$

= $125/5$ = 25 seconds.

Question : 4

Two trains of equal length are running on parallel lines in the same direction at 46 km/hour and 36 km/hour. The faster train passes the slower train in 36 seconds. The length of each train is

a) 80 m

b) 82 m

c) 50 m

d) 72 m

Answer: (c)

Let the length of each train be x metre.

Relative speed

= (46 – 36) kmph = 10 kmph

= $({10 × 5}/18)$ m./sec.

= $25/9$ m./sec.

${2x}/{25/9} = 36$

$2x = 36 × 25/9$ = 100

$x = 100/2$ = 50 metre

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