Question: 36 -

A train 50 meters long passes a platform 100 meters long in 10 seconds. The speed of the train is: 

10 km/hr

15 km/hr

100 km/hr

54 km/hr

Answer:

54 km/hr

Solution:

Distance covered by train in 10 sec = (50+100)m = 150m 

Speed = (150/10)m/sec = (15 ×18/5) km/hr = 54 km/hr 

Question: 37 -

A train 700 m long is running at the speed of 72km per hour if it crosses a tunnel in 1 minute. Then the length of the tunnel is: 

700m

600m

550m

500m

Answer:

500m

Solution:

 Speed = (72 × 5/18 ) m/sec = 20 m/sec 

Length of tunnel = x meters 

(700+x)/60 = 20 

=> 700 + x = 1200 or x = 500 m 

Question: 38 -

A train 300 m long crossed a platform 900 m long in 1 minute 12 seconds. The speed of the train in km/hr was: 

60

50

45

55

Answer:

60

Solution:

Distance covered in 72 sec = (300+900)m 

Speed = (1200/72)m/sec 

=(50/3) m/sec 

= (50/3 × 18/5) km/hr = 60 km/hr. 

Question: 39 -

A train 270 meters long is moving at a speed of 25 kmph. It will cross a man coming from the opposite direction at a speed of 2 km per hour in: 

24 Seconds

28 Seconds

32 Seconds

36 Seconds

Answer:

36 Seconds

Solution:

Relative speed = (25+2) km/hr 

= 27 km/hr 

= (27 x 5/18) m/sec 

= (15/2) m/sec. 

Time taken by the train to pass the man. 

= (270 × 2/15) Sec = 36 Sec. 

Question: 40 -

A person sees a train passing over 1 km long bridge. The length of the train is half that of bridge if the train clears the bridge in 2 minutes the speed of the train is: 

60 km/hr

45 km/hr

50 km/hr

30 km/hr

Answer:

45 km/hr

Solution:

Distance covered in 2/60 hr = (1+1/2) km = 3/2 km. 

Distance covered in 1 hr = (3/2 × 60/2) km = 45 km. 

Speed of the train = 45 km/hr