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  • Question
  • Three cars A, B and C started from a point at 5 pm, 6 pm and 7 pm respectively and travelled at uniform speeds of 60 km/hr, 80 km/hr and x km/hr respectively in the same direction. If all the three met at another point at the same instant during their journey, then what is the value of x?


  • Options
  • A. 120
  • B. 110
  • C. 105
  • D. 100

  • Correct Answer
  • 120 

    Explanation

    Distance covered by A till 6pm = 60 km

    Distance covered by A till 7 pm = 120 km

    Time taken by B to catch A = 60/(80-60 ) = 3 hrs

    So A and B will meet at 6pm + 3 hrs = 9pm

    Since we know that all three met at the same time

    The time taken by C to cover 120 km

    difference will be  = 9pm ?7pm = 2hrs

    Therefore,(x ?60 )*2 = 120x = 120 km/hr

  • Tags: Bank Exams

    Time and Distance problems


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    • 1. A man makes four trips of equal distances. His speed on first trip was 60 km/hr and in each subsequent trip his speed was half of the previous trip. What is the average speed (in km/hr) of the man in these four trips?

    • Options
    • A. 16
    • B. 30
    • C. 28.125
    • D. 27.5
    • Discuss
    • 2. A runner starts running from a point at 6:00 am with a speed of 8 km/hr. Another racer starts from the same point at 8:30 am in the same direction with speed of 10 km/hr. At what time of the day (in p.m.) will the second racer will overtake the other runner?

    • Options
    • A. 8:00
    • B. 4:00
    • C. 6:30
    • D. 5:30
    • Discuss
    • 3. After repairing a scooter runs at a speed of 54 km/h and before repairing runs at speed of 48 km/h. It covers a certain distance in 6 hours after repairing. How much time will it take to cover the same distance before repairing?

    • Options
    • A. 6 hours 15 minutes
    • B. 6 hours 45 minutes
    • C. 7 hours
    • D. 7 hours 30 minutes
    • Discuss
    • 4. A starts from a point at a speed of 30 metre/second. After 3 seconds, B starts chasing A from the same point with a speed of 50 metre/second. What will be the total distance (in metres) travelled by A and B before A is caught by B?

    • Options
    • A. 360
    • B. 450
    • C. 600
    • D. 720
    • Discuss
    • 5. A person goes from point N to P and comes back. His average speed for the whole journey is 60 km/hr. If his speed while going from N to P is 40 km/hr, then what will be the speed of the person (in km/hr) while coming back from P to N?

    • Options
    • A. 80
    • B. 100
    • C. 120
    • D. 140
    • Discuss
    • 6. A man travelled a distance of 50 km in 8 hours. He travelled partly on foot at 5 km/hr and partly on bicycle at 7 km/hr. What is the distance (in kms) travelled on foot?

    • Options
    • A. 20
    • B. 25
    • C. 15
    • D. 30
    • Discuss
    • 7. To travel 720 km, a Express train takes 6 hours more than Duronto. If however, the speed of the Express train is doubled, it takes 2 hours less than Duronto. The speed of Duronto (in km/hr) is?

    • Options
    • A. 60
    • B. 72
    • C. 66
    • D. 78
    • Discuss
    • 8. A train is moving at the speed of 72km/hr. How many seconds will it take to cover a distance of 1400 m ?

    • Options
    • A. 70
    • B. 80
    • C. 72
    • D. 84
    • Discuss
    • 9. To cover a distance of 90 km in 2.5 hours what should be the average speed of the car in meters/second?

    • Options
    • A. 10
    • B. 20
    • C. 30
    • D. 40
    • Discuss
    • 10. Two cars travel from city A to city B at a speed of 30 and 44 km/hr respectively. If one car takes 3.5 hours lesser time than the other car for the journey, then the distance between City A and City B is

    • Options
    • A. 330 km
    • B. 396 km
    • C. 495 km
    • D. 264 km
    • Discuss


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