431. Two trains are running 40 km/hr and 20 km/hr respectively in the same direction. The fast train completely passes a man sitting in the slow train in 5 seconds. The length of the fast train is

1. 1. 23	2	m
      	9

   
   
   

   2. 27 m

   
   
   

   3. 27	7	m
      	9

   
   
   

   4. 23 m

   
   
   

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1. View Hint View Answer Discuss in Forum

   Relative speed = 40 – 20 = 20 km/hour
   

   =	20 × 5	m/sec.
   	18

   
   

   ∴   Length of the faster train =	20 × 5	× 5 metres
   	18

   
   

   =	250	= 27	7	metres
   	9		9

   Correct Option: C

   Relative speed = 40 – 20 = 20 km/hour
   

   =	20 × 5	m/sec.
   	18

   
   

   ∴   Length of the faster train =	20 × 5	× 5 metres
   	18

   
   

   =	250	= 27	7	metres
   	9		9

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432. A train is moving at a speed of 80 km/h and covers a certain distance in 4.5 hours. The speed of the train to cover the same distance in 4 hours is

1. 1. 100 km/h

   
   
   

   2. 70 km/h

   
   
   

   3. 85 km/h

   
   
   

   4. 90 km/h

   
   
   

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1. View Hint View Answer Discuss in Forum

   Distance = Speed × Time
   = 80 × 4.5 = 360 km
   

   ∴   Required speed =	360	= 90 kmph.
   	4

   Correct Option: D

   Distance = Speed × Time
   = 80 × 4.5 = 360 km
   

   ∴   Required speed =	360	= 90 kmph.
   	4

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433. Two trains 180 metres and 120 metres in length are running towards each other on parallel tracks, one at the rate 65 km/hour and another at 55 km/hour. In how many seconds will they be clear of each other from the moment they meet ?

1. 1. 6

   
   
   

   2. 9

   
   
   

   3. 12

   
   
   

   4. 15

   
   
   

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1. View Hint View Answer Discuss in Forum

   Required time =	Sum of the lengths of trains
   	Relative speed

   
   Relative speed = 65 + 55
   = 120 kmph
   

   Required time =	180 + 120
   	120 × 5
   	18

   
   

   =	300 × 18	= 9 seconds
   	120 × 5

   Correct Option: B

   Required time =	Sum of the lengths of trains
   	Relative speed

   
   Relative speed = 65 + 55
   = 120 kmph
   

   Required time =	180 + 120
   	120 × 5
   	18

   
   

   =	300 × 18	= 9 seconds
   	120 × 5

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434. The speed of two trains are in the ratio 6 : 7. If the second train runs 364 km in 4 hours, then
     the speed of first train is

1. 1. 60 km/hr

   
   
   

   2. 72 km/hr

   
   
   

   3. 78 km/hr

   
   
   

   4. 84 km/hr

   
   
   

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1. View Hint View Answer Discuss in Forum

   Speed of second train =	364	= 91 kmph
   	4

   
   ∴  7x ≡ 91
   

   ⇒ 6x ≡	91	× 6x ≡ 78 kmph
   	7x

   Correct Option: C

   Speed of second train =	364	= 91 kmph
   	4

   
   ∴  7x ≡ 91
   

   ⇒ 6x ≡	91	× 6x ≡ 78 kmph
   	7x

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435. At an average of 80 km/hr Shatabdi Express reaches Ranchi from Kolkata in 7 hrs. The
     distance between Kolkata and Ranchi is

1. 1. 560 km.

   
   
   

   2. 506 km.

   
   
   

   3. 560 m.

   
   
   

   4. 650 m.

   
   
   

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1. View Hint View Answer Discuss in Forum

   Distance = Speed × Time
   = (80 × 7) km.
   = 560 km.

   Correct Option: A

   Distance = Speed × Time
   = (80 × 7) km.
   = 560 km.

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