A man travels 450 km to his home partly by train and partly by c

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

Advertisement

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


A.

45

Let the speed of train be x kmph.
Speed of car  = y kmph.
Case I, 
               Time space equals space Distance over Speed
rightwards double arrow space space space 240 over straight x space plus space 210 over straight y space equals space 8 40 over 60 space equals space 8 2 over 3
rightwards double arrow space space 240 over straight x plus 210 over straight y space equals space 26 over 3 space space space space space... left parenthesis straight i right parenthesis
    
Case II,
      180 over straight x space plus space 270 over straight y space equals space 9 space space space space space space... left parenthesis ii right parenthesis
Multiply equation (i) by 3 - Multiply equation (ii) by 4,
     rightwards double arrow space space space 720 over straight x space plus space 630 over straight y space minus space 720 over straight x space minus space 1080 over straight y
rightwards double arrow space space space fraction numerator negative 450 over denominator straight y end fraction space equals space minus 10
rightwards double arrow space space space straight y space equals space 45 space kmph.

1365 Views

Advertisement
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

Advertisement
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

Advertisement
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

Advertisement