Two places P and Q are 162 km apart. A train leaves P for Q and

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 Multiple Choice QuestionsMultiple Choice Questions

1.

A train with a uniform speed crosses a pole in 2 seconds and a bridge of length 250m in 7 seconds. The length of the train is

  • 150 m

  • 120 m

  • 100 m

  • 100 m

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2.

Two stations X and Y are 900 km apart. A train starts from X and moves towards Y at 70 km/hr. Another train starts from Y at the same time and moves towards X at 80 km/hr. How far from X will they cross each other?

  • 150 km

  • 300 km

  • 420 km

  • 420 km

157 Views

3.

To travel 816 km, an Express train takes 9 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 4 hours less than Rajdhani. What is the speed of Rajdhani?

  • 48 km/h

  • 62.8 km/h

  • 33.2 km/h

  • 77.5 km/h


4.

Two trains of equal length are running on parallel lines in the same direction in the same direction at the rate of 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is

  • 50 m

  • 72 m

  • 80 m

  • 80 m

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5.

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

  • 23 2 over 9 straight m
  • 27 m

  • 27 7 over 9 straight m
  • 27 7 over 9 straight m
226 Views

6.

P and Q are 27 km away. Two trains with speeds of 24 km/hr and 18 km/hr respectively start simultaneously from P and Q and travel in the same direction. They meet at a point R beyond Q. Distance QR is

  • 126 km

  • 81 km

  • 48 km

  • 68 km

601 Views

7.

Two trains, A and B, start from stations X and Y towards Y and X respectively. After passing each other, they take 4 hours 48 minutes and 3 hours 20 minutes to reach Y and X respectively. If train A is moving at 45 km/hr, then the speed of the train B is

  • 60 km/hr

  • 64.8 km/hr

  • 54 km/hr

  • 54 km/hr

899 Views

8.

A train covers a distance between A and station B in 45 minutes, If the speed of the train is reduced by 5 km per hr, then the same distance is covered in 48 minutes. The distance between stations A and B is

  • 60 km

  • 64 km

  • 80 km

  • 80 km

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9.

A train travelling with a speed of 60 km/hr catches another train travelling in the same direction and then leaves it 120 m behind in 18 seconds. The speed of the second train is

  • 26 km/hr

  • 35 km/hr

  • 36 km/hr

  • 36 km/hr

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10.

Two places P and Q are 162 km apart. A train leaves P for Q and simultaneously another train leaves Q for P. They meet at the end of 6 hours. If the former train travels 8 km/hr faster than the other, then speed of train from Q is

  • 12 5 over 6 km/hour
  • 10 5 over 6 space km divided by hour
  • 9 1 half space km divided by hour
  • 9 1 half space km divided by hour


C.

9 1 half space km divided by hour

Let the speed of first train be x kmph.
∴ speed of second train be (x + 8) kmph
According to the question,
Speed x Time  = Distance
(x + 8) x 6 + (x) x 6 = 162
⟹   6x + 48 + 6x = 162
⟹    12x = 162 - 48 = 114
rightwards double arrow space space straight x space space equals space 114 over 12 space equals space 19 over 2 space equals space 9 1 half kmph



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