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A jogger running at 9 kmph alongside a railway track is 240 meters ahead of the engine of a 120-metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?

A.

34 sec

B.

32 sec

C.

38 sec

D.

36 sec

Answer with explanation

Answer: Option DExplanation

Speed of train relative to jogger = (45-9) = 36 kmph

===== >>>> 36*(5/18) = 10 m/sec

Distance to cover = 240 + 120 = 360 metres

Time = Distance/Speed

So,

======>>>>> Time = 360/10 = 36 sec

Workspace

Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 meters, in what time (in seconds) will they cross each other traveling in opposite direction?

A.

15

B.

20

C.

12

D.

10

Answer with explanation

Answer: Option CExplanation

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 train?

A.

60 m

B.

55 m

C.

50 m

D.

45 m

Answer with explanation

Answer: Option CExplanation

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,

So length of train is 50 metre

Workspace

A pilot flies an aircraft at a certain speed for a distance of 800 km. He could have saved 40 min by increasing the average speed of the plane by 40 km/h. Find the average speed of the aircraft.

A.

300 Km/h

B.

200 Km/h

C.

100 Km/h

D.

240 Km/h

Answer with explanation

Answer: Option BExplanation

Workspace

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.

10 sec

B.

7 sec

C.

6 sec

D.

5 sec

Answer with explanation

Answer: Option CExplanation

Workspace

A 300-meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform

A.

345 meters

B.

350 meters

C.

310 meters

D.

335 meters

Answer with explanation

Answer: Option BExplanation

Speed = Distance/time = 300/18 = 50/3 m/sec

Let the length of the platform be x meters

then

Workspace

A train crosses a platform of 150 m in 15 sec, the same train crosses another platform of length 250 m in 20 sec. then find the length of the train?

A.

150 m

B.

148 m

C.

136 m

D.

124 m

Answer with explanation

Answer: Option AExplanation

Length of the train be ‘X’

X + 150/15 = X + 250/20

4X + 600 = 3X + 750

X = 150m

Workspace

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

A.

36

B.

42

C.

20

D.

28

Answer with explanation

Answer: Option AExplanation

Distance covered =(120+120)=240 metre

Time =12 seconds

Relative speed in this case is the sum of the speeds of the trains and each train has same speed, speed of each train

Workspace

A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?

A.

30 sec

B.

40 sec

C.

20 sec

D.

50 sec

Answer with explanation

Answer: Option BExplanation

Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec

Total distance = 360+140 = 500 meter

Time = Distance/speed

= 500 * (2/25) = 40 seconds

Workspace

A train, 800 meters long is running with a speed of 78 km/hr. It crosses a tunnel in 1 minute. What is the length of the tunnel?

A.

555 meter

B.

458 meter

C.

650 meter

D.

500 meter

Answer with explanation

Answer: Option DExplanation

Let length of tunnel is x meter

Distance = 800+x meter

Time = 1 minute = 60 seconds

Speed = 78 km/hr = 78*5/18 m/s = 65/3 m/s

Distance = Speed*Time

So the length of the tunnel is 500 meters.

Workspace

Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:

A.

10.8

B.

10

C.

9.6

D.

9

Answer with explanation

Answer: Option AExplanation

Relative speed = (60 + 40) km/hr =[ 100 x ( 5 / 18 ) ]m/sec = ( 250 /9 ) m/sec.

Distance covered in crossing each other = (140 + 160) m = 300 m.

Required time = [ 300 x ( 9/250 ) ] sec = ( 54/ 5 )sec = 10.8 sec.

Workspace

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