Model 1 Train Vs Train in same direction Practice Questions Answers Test with Solutions & More Shortcuts

Question : 21 [SSC CGL Tier-I 2016]

The distance between two places A and B is 60 km. Two cars start at the same time from A and B, travelling at the speeds of 35 km/h and 25 km/h, respectively. If the cars run in the same direction, then they will meet after ( in hours)

a) 6.2

b) 6

c) 6.52

d) 6.5

Answer: (b)

Let both cars meet at C after t hours.

Distance covered by car A

= AC = 35t km

Distance covered by car B

= BC = 25t km

AC – BC = AB = 60 km.

35t – 25t = 60

10t = 60

t = $60/10$ = 6 hours

Question : 22 [SSC FCI Asst Grade-III 2013]

A boy started from his house by bicycle at 10 a.m. at a speed of 12 km per hour. His elder brother started after 1 hr 15 mins by scooter along the same path and caught him at 1.30 p.m. The speed of the scooter will be (in km/hr)

a) 36

b) 18$2/3$

c) 9

d) 4.5

Answer: (b)

Let the speed of Scooter be x Distance covered by cycling in 3$1/2$ hours

= Distance covered by scooter in 2$1/4$ hours

$12 × 7/2 = x × 9/4$

$x = {12 × 7 × 2}/9$

= $56/3 = 18{2}/3$ kmph

Question : 23 [SSC CHSL 2014]

Two trains start from stations A and B and travel towards each other at speeds of 50 kmph and 60 kmph respectively. At the time of their meeting, the second train has travelled 120 km more than the first. The distance between A and B is

a) 1440 km

b) 1320 km

c) 990 km

d) 1200 km

Answer: (b)

Let both trains meet after t hours.

Distance = speed × time

60t – 50t = 120

10t = 120 ⇒ t = 12 hours

Required distance

= 60t + 50t

= 110t = 110 × 12 = 1320 km

Question : 24 [SSC MTS 2017]

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

Question : 25 [SSC CPO S.I.2004]

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.

IMPORTANT quantitative aptitude EXERCISES

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