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

Question : 26 [SSC CGL Tier-I 2014]

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 : 27 [SSC Asst Grade-III 2012]

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

Answer: (b)

Relative speed

= 45– 40 = 5 kmph

Required distance

= $(5 × 45/60)$ km

= $15/4$ km = 3 km 750

Question : 28 [SSC CGL Tier-I 2013]

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

IMPORTANT quantitative aptitude EXERCISES

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