A train 'B' speeding with 100 kmph crosses another train C, runn

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 Multiple Choice QuestionsMultiple Choice Questions

11.

A man travels 450 km to his home partly by train and partly by car. He takes 8 hours 40 minutes if he travels 240 km by train and rest by car. He takes 20 minutes more if he travels 180 km by train and the rest by car. The speed of the car in km/hr is

  • 45

  • 50

  • 60

  • 60

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12.

A train 'B' speeding with 100 kmph crosses another train C, running in the same direction, in 2 minutes. If the length of the train B and C be 150 metre and 250 metre respectively, what is the speed of the train C (in kmph)?

  • 75

  • 88

  • 95

  • 95


B.

88

Let the speed of train C be x kmph.
∴  Relative speed of B = (100 - x) kmph.
Relative space Time space equals space fraction numerator Length space of space both space trains over denominator Relative space Speed end fraction
rightwards double arrow space space 2 over 60 space equals space fraction numerator open parentheses begin display style fraction numerator 150 plus 250 over denominator 1000 end fraction end style close parentheses over denominator 100 minus straight x end fraction
rightwards double arrow space space 1 over 30 space equals space fraction numerator 2 over denominator 5 left parenthesis 100 minus straight x right parenthesis end fraction
rightwards double arrow space space space 1 over 6 space equals space fraction numerator 2 over denominator left parenthesis 100 minus straight x right parenthesis end fraction
rightwards double arrow space space 100 minus straight x space equals space 12
rightwards double arrow space space straight x space equals space 100 minus space 12 space equals space 88 space kmph.

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13.

A train, 200 m long is running at a speed of 54 km/hr. The time in seconds that will be taken by train to cross a 175 m long bridge is:

  • 12.5

  • 20

  • 25

  • 25

66 Views

14.

A train 100 m long is running at a speed of 120 km/hr. The time taken to pass a person standing near the lines is

  • 1 sec

  • 3 sec

  • 5 sec

  • 7 sec

52 Views

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15.

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

  • 5 sec

  • 6 sec

  • 7 sec

  • 10 sec

55 Views

16.

In what time will a train, 60m long, running at the rate of 36 km/h pass a telegraph post?

  • 9 sec

  • 8 sec

  • 7 sec

  • 6 sec


17.

A train, 300 m long, passed a man, walking along the line in the same direction at the rate of 3 km/h in 33 s. The speed of the train is

  • 30 km/h

  • 32 km/h

  • 32 8 over 11 space km divided by straight h

  • 35 8 over 11 space km divided by hr

53 Views

18.

If I walk at 5 km/h, I miss a train by 7 min. If, however, I walk at 6 km/h, I reach the station 5 min before the departure of the train. The distance (in km) between my house and the station is

  • 6

  • 5

  • 4

  • 3

34 Views

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19.

With average speed of 40 km/h, a train reaches its destination in time. If it goes with an average speed of 35 km/h, it is late by 15 min. The total journey is

  • 30 km

  • 40 km

  • 70 km

  • 80 km

53 Views

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