A train, 300 m long, passed a man, walking along the line in the

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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

1365 Views

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

408 Views

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


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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


D.

35 8 over 11 space km divided by hr

Let the speed of the train is x km/hr.
      Speed of a man  = 3 km/hr.
As they are moving in same direction
∴ Their relative speed  = (x - 3) km/hr
     Time space equals space 33 space straight s space equals space fraction numerator 33 over denominator 60 space cross times space 60 end fraction
     Distance space equals space 300 space straight m space space equals space 300 over 1000 km
Then,    left parenthesis straight x minus 3 right parenthesis space equals space fraction numerator begin display style 3 over 10 end style over denominator begin display style fraction numerator 33 over denominator 60 space cross times 60 end fraction end style end fraction space equals space fraction numerator 60 space cross times space 60 over denominator 33 end fraction space cross times space 3 over 10 space equals space 360 over 11
 rightwards double arrow space space straight x space equals space 360 over 11 space plus space 3 space equals space fraction numerator 360 plus 33 over denominator 11 end fraction space equals space 393 over 11 space equals space 35 8 over 11 km divided by straight h

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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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