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A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

A.

5 sec

B.

6 sec

C.

10 sec

D.

12 sec

Answer with explanation

Answer: Option BExplanation

Workspace

Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 99 hours and 1616 hours respectively. The ratio of their speeds is

A.

2:3

B.

2:1

C.

3:2

D.

4:3

Answer with explanation

Answer: Option DExplanation

Required Ratio =√16:√9=4:3

Workspace

**When a train travels from Delhi to Mumbai at the rate of 120km/hr and returns back at the rate of 180km/hr then what is the average speed of the train?**

A.

144km/hr

B.

154km/hr

C.

160km/hr

D.

170km/hr

Answer with explanation

Answer: Option AExplanation

Average Speed=2*120*180/(120+180)=144km/hr

Workspace

Speed of a goods train is 72 km/hr. This train crosses a 250 meter platform in 26 seconds. Then find the length of goods train.

A.

250 meters

B.

260 meters

C.

280 meters

D.

270 meters

Answer with explanation

Answer: Option DExplanation

First, convert speed from km/hr to m/sec

So, Speed = 72*(5/18) = 20 m/sec

Time = 26 seconds

Let the length of the train be x meters.

We know, Distance = Speed*Time.

[you can remember this formula as remembering DUST = D*ST… Distance=Speed*Time]

x+250 = 20*26

=> x = 270 meters

So length of the goods train is 270 meter

Workspace

Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:

A.

48sec

B.

36sec

C.

55sec

D.

47sec

Answer with explanation

Answer: Option AExplanation

Workspace

A train travels a distance of 300 km at a constant speed. If the rate of a train is increased by 5 km per hour, the journey would have taken 2 hours less. Find the original speed of the train?

A.

25km/hr

B.

22 km/h

C.

26 km/hr

D.

27 km/hr

Answer with explanation

Answer: Option AExplanation

Workspace

A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. Find the length of the train ?

A.

45m

B.

50m

C.

55m

D.

60m

Answer with explanation

Answer: Option BExplanation

First person speed = 2*(5/18) = 5/9 m/sec

Second person speed = 4*(5/18) = 10/9 m/sec

Let the length of the train is x meter and speed is y m/sec

then,

xy−59=9=>9y−5=x=>9y−x=5.....(i)Also,xy−109=1090y−9x=100.....(ii)from (i) and (ii),

we get,x=50xy−59=9=>9y−5=x=>9y−x=5…..

(i)Also,xy−109=1090y−9x=100…..(ii)from (i) and (ii), we get,x=50

So the length of the train is 50 meter.

Workspace

Two trains moving in same direction run at a speed of 60 km/hr and 40 km/hr respectively. If a man sitting in slow train is passed by the fast train in 10 seconds, then what is the length of the faster train?

A.

53.2 m

B.

55.6 m

C.

150 m

D.

200 m

Answer with explanation

Answer: Option BExplanation

Workspace

**A man sitting on a train which is traveling at 50 mph observes that goods train, traveling in the opposite direction, takes 9 seconds to pass him. If the goods trains are 280 m long, find its speed.**

A.

47kmph

B.

45kmph

C.

56kmph

D.

62kmph

Answer with explanation

Answer: Option DExplanation

Workspace

Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a girl sitting at window seat in the slower train in 32 seconds. Find the length of the faster train ?

A.

170m

B.

100 m

C.

320 m

D.

270 m

Answer with explanation

Answer: Option CExplanation

Relative speed = (72 – 36) x 5/18 = 2 x 5 = 10 mps.

Distance covered in 32 sec = 32 x 10 = 320 m.

The length of the faster train = 320 m.

Workspace

Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 12 seconds, the speed of each train (in km/hr) is

A.

30 Km/hr

B.

36 Km/hr

C.

80 Km/hr

D.

90 Km/hr

Answer with explanation

Answer: Option BExplanation

Distance covered = 120+120 = 240 m

Time = 12 s

Let the speed of each train = x.

Then relative velocity = x+x = 2x

2x = distance/time = 240/12 = 20 m/s

Speed of each train = x = 20/2 = 10 m/s

= 10*18/5 km/hr = 36 km/hr

Workspace

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