# SBI CLERK PRELIMS- APTITUDE – 16

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Section : Quantitative Aptitude

Topic : Problem on Trains

Time: 20 Minutes

1) How long will a train 60 m long travelling at 40 Km an hour,take to pass through a Station whose platform is 90 m long?

(A) 14 SEC

(B) 13.5 SEC

(C) 14.5 SEC

(D) 15 SEC

(E) NONE OF THESE

2)Two trains 121 metres and 99 metres in length respectively are running in opposite direction,one at the rate of 40 km  and the other at the rate of 32 km an hour.In what time will they be completely clear of each other from the moment they meet?

(A) 10 SEC

(B) 11 SEC

(C) 12 SEC

(D) 13 SEC

(E) 14 SEC

3) A train running at 25km/he takes 18 seconds to pass a platform .Next,it takes 1 Seconds to pass a man walking at 5 km.hr in the opposite direction.Find the length of the train and that of the platform?

(A) 100 M,150 M

(B) 125,100 M

(C) 100,25 M

(D) 125,150 M

(E) NONE OF THESE

4)150 metre long train crosses a platform of length 250 metre in 30 seconds.Find the time for train to cross a bridge  of 130 metre?

(A) 21 SECONDS

(B) 15 SECONDS

(C) 10 SECONDS

(D) 25 SECONDS

(E) NONE OF THESE

5) 120 metre long train crosses a tunnel of length 80 metres in 20 seconds .Find the time for train to cross a man standing on a platform of length 130 metre?

(A) 10 SECS

(B) 12 SECS

(C) 14 SECS

(D) 16 SECS

(E) NONE OF THESE

6)Two Station A and B are 110 km apart on a straight line.A train starts from A towards at the rate of 40 km/hr.@ hours later another train starts from B and travel towards A at the rate of 50 m/hr.When will the first train meet to the second train?

(A) 5/3 HRS

(B) 7/3 HRS

(C) 2 HRS

(D) 3 HRS

(E) NONE OF THESE

7)A train passes by a stationary man standing on the platform in 7 seconds and passes by the platform completely in 28 seconds.If the length of the platform is 330 metres,what is the length  of the train?

(A) 110 M

(B) 150 M

(C) 180 M

(D) 200 M

(E) 220 M

8) Two trains of the same length but with different speeds apass a static pole in 4 seconds and 5 seconds respectively.In what time will they cross each other when they are moving in the opposite direction?

(A) 40/9 SECONDS

(B) 30/9 SECONDS

(C) 60/9 SECONDS

(D) 70/9 SECONDS

(E) NONE OF THESE

9)Two trains of length 100 m and 80 m respectively run on parallel lines of rails.When running in the same direction the faster trains passes the slower train in 18 seconds,but when they are running in opposite direction with the same speeds as earlier,they pass each other in 9 seconds.find the speed of each train?

(A) 15 M/S AND 5 M/S

(B) 20 M/S AND 25 M/S

(C) 10 M/S AND 15 M/S

(D) 20 M/S AND 10 M/S

(E) NONE OF THESE

10)A train crosses 210 metres and 122 metres long bridge in 25 seconds and 17 seconds respectively.Find the length and speed of the train?

(A) 11 M/SEC

(B) 15 M/SEC

(C) 18 M/SEC

(D) 21 M/SEC

(E) NONE OF THESE

1. A train 500m long passes a stone in 10 sec, it takes how many sec to cross a platform of half the length of train.

(A) 5 sec

(B) 7.5 sec

(C) 15 sec

(D) 20 sec

(E) None of these

1. A bridge of 600 m long was crossed by a fast moving train at a speed of 72 km/hr in 45 sec. What is length of train?

(A) 300 m

(B) 200 m

(C) 400 m

(D) 500 m

(E) 600 m

1. Two trains travels at 60 km/hr, 40 km/hr. The man in the faster train observes, he completely crosses the other in 30 sec. Find the length of slower train as it was stopped for level crossing.

(A) 750 m

(B) 500 m

(C) 600 m

(D) 1200 m

(E) None of these

1. A train crosses a platform in 48 sec. While crossing a signal pole on the platform it is observed that it takes  less time. Find the ratio of length of train and platform?

(A) 1:2

(B) 3:4

(C) 3:2

(D) 1:3

(E) None of these

1. Excluding stoppage a train travels at 120 km/hr. Including stoppage it travels at 80 km/hr. In each stoppage if it stops for 5 mins find no. of stops in one hour.

(A) 5

(B) 4

(C) 3

(D) 6

(E) 2

1. Two trains will cross each other in 20 sec in opposite direction while travelling in same direction crosses in 35 sec. find the ratio of speed of 2 trains.

(A) 3:11

(B) 14:3

(C) 10:7

(D) 7:13

(E) 11:3

1. A train travelling at 65 km/hr crosses another train of 500 m long in 1 min completely in same direction, it takes only 15 sec to cross a man walking at 7 km/hr in opposite direction find speed of other train in km/hr.

(A) 27 km/hr

(B) 17 km/hr

(C) 23 km/hr

(D) 16 km/hr

(E) 61 km/hr

18) Two trains starts at the same time from A and B. after crossing each other they take 48 min and 144 min to reach their respectively destination. Find ratio of their speed.

(A) 1:18

(B) 1:3

(C) 3:1

(D) 3:2

(E) None of these

1. A train travelling at  hr of it usual speed reached its destination 15 min late find its change in time.

(A) 1 hr 15 min

(B) 2 hr

(C) 1 hr

(D) 2 hr 30 min

(E) 1 hr 30 min

1. A train travelling at 60 km/hr for 2 hrs, at 24 km/hr for 5 hrs and 15 km/hr for 8 hrs find its average speed

(A) 48 km/hr

(B) 24 km/hr

(C) 27 km/hr

(D) 36 km/hr

(E) 42 km/hr

Solutions for the Above Questions :

1. (B)
Time=distance/Speed

Distance=Length of the Train+Length of the Platform = 60+90=150 m

Speed =40km/hr

Type conversion:

Speed= 40*5/18=11.11

Time=150/11.11

Time=13.5 Seconds

2. (B)

They move in Opposite direction therefore Relative Speed =Sum of their speed=40+32 km/hr=72km/hr=20m/sec

Length=121+99=220 metre

Time=Length /Speed=220/20=11 Sec

3. (C)

Speed of the train relative to man=25+5=30 km/hr

=30*(5/18)=25/3 m/sec

Distance travelled in 12 seconds at this speed

=25/3 *12=100 m

Speed of the train=25 km/hr=25*(5/18)=125/18 m/sec

Distance travelled in 18 secs at this speed

=125/18*18=125 m

Length of the train + Length of the platform=125 m

Length of the platform=125-100=25 m

4. (A)

Speed of the train=150+250/30

=40/3 m/sec

Now,Train has to cover 150+130=280 metre

Required Time=280*3/40 =21 seconds

5. (B)

Speed of the train=120+80/20=10 m/sec

Time taken by train to cross the man=120/10=12 sec

6. (B)

Let the first train meet the second x hrs after it starts,then

40x+(x-2)*50=110

Distance covered by the first train=40x km

The second train starts 2 hrs after the first starts its journey ,so the distance covered by the second train=50(x-2)

Total distance=110 km

(110+2*50)/(40+50)=210/90=7/3 hours

7. (A)

Let the length of the train be x m

Then, Speed of the train=x/7 m per sec

Speed of the train=x+330/28 m per sec

x=7*330/21 =110m

8. (A)

Relative Speed when they are moving in the opposite  direction=x/4+x/5=9x/20 m/sec

Required Time=2x/(9x/20)=40/9Seconds

9. (A)

Let the speeds of the trains be x m/s and y m/s

When they are moving in the same direction,the relative speed =(x-y)m/s

x-y=100+80/18=10

Similarly, x+y=100+80/9=20

Solving the two equations

x=15 m/s

y=5 m/s

10. (A)

Let the length of the train L m and speed of the train be x m/sec

210+L/25=122+L/17=x

L=210*17-122*25/25-17=520/8=65m

Length of the train=65 metres

Speed =210+65/25=275/25=11 m/sec

1. (C)
2. (A)
3. (B)
4. (D)
5. (B)
6. (E)

20 (S2 + S2) = 35 (S1 – S2)

4S1 + 4S2 = 7S1 – 7S2

3S1 = 11S2

S1:S2 = 11:3

1.  (B)

L = (65 + 7)

L = 300 m

65 = S2 = – S2 = 48 – 65

S2 = 17 km/hr

1. (D)
2. (E)
3. ( B)

You can inspect the other daily quizzes which we post in the SBI CLERK PRELIMS EXAM STUDY PLANNER 2018 from the below given links. Our Team is updating the Daily Quizzes regularly so that, these quizzes will hep your preparations and also to master the SBI CLERK EXAM 2018. Preparing hard is important , by attending our daily quizzes, you are preparing in a smarter way. Also alternately bookmark the below given page , so that this will be useful for your daily preparations.

You can inspect the other daily quizzes which we post in the SBI CLERK PRELIMS EXAM STUDY PLANNER 2018 from the below given links. Our Team is updating the Daily Quizzes regularly so that, these quizzes will hep your preparations and also to master the SBI CLERK EXAM 2018. Preparing hard is important , by attending our daily quizzes, you are preparing in a smarter way. Also alternately bookmark the below given page , so that this will be useful for your daily preparations.