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  • Question
  • Two bike riders ride in opposite directions around a circular track, starting at the same time from the same point. Biker A rides at a speed of 16 kmph and biker B rides at a speed of 14 kmph. If the track has a diameter of 40 km, after how much time (in hours) will the two bikers meet?


  • Options
  • A. 6.52
  • B. 8.14
  • C. 4.18
  • D. 5.02

  • Correct Answer
  • 4.18 

    Explanation

    Distance to be covered =  ?D  = 40 ?  km 

    Relative speed of bikers = 16 + 14 = 30 kmph.

     

    Now,  t i m e = d i s tan c e s p e e d  =   40 ? 30  = 4.18 hrs.

  • Tags: CAT, Bank Clerk

    Time and Distance problems


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    • 1. The distance from town A to town B is five miles. C is six miles from B. Which of the following could be the maximum distance from A to C?

    • Options
    • A. 11
    • B. 8
    • C. 2
    • D. 4
    • Discuss
    • 2. Karthik walks at 5 km/hr and reaches his destination 8 min late. If he walks at 6 km/hr, he reaches his destination on time. What distance he will cover in given time ?

    • Options
    • A. 10 kms
    • B. 8 kms
    • C. 6 kms
    • D. 4 kms
    • Discuss
    • 3. A man traveled from the village to the post-office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village ?

    • Options
    • A. 40 km
    • B. 30 km
    • C. 20 km
    • D. 10 km
    • Discuss
    • 4. An employee may claim Rs. 7.00 for each km when he travels by taxi and Rs. 6.00 for each km if he drives his own car. If in one week he claimed Rs. 595 for traveling 90 km. How many kms did he travel by taxi ?

    • Options
    • A. 55 kms
    • B. 35 kms
    • C. 25 kms
    • D. 65 kms
    • Discuss
    • 5. A Person X started at 3 hours earlier at 40km/h from a place P, then another person Y followed him at 60km/h. Started his journey at 3 O'clock, afternoon. What is the diference in time when X was30 km ahead of Y and when Y was 30 km ahead of X?

    • Options
    • A. 2h
    • B. 3h
    • C. 3.5h
    • D. 4.25h
    • Discuss
    • 6. With an average speed of 40 km/hr, a train reaches its destination in time. If it goes with an average speed of 35 km/hr, it is late by 15 minutes. Find the length of the total journey?

    • Options
    • A. 70 kms
    • B. 60 kms
    • C. 45 kms
    • D. 30 kms
    • Discuss
    • 7. A man is riding a bike with front and back wheel circumference of 40 inches and 70 inches respectively. If the man rides the bike on a straight road without slippage, how many inches will the man have travelled when the front wheel has made 15 revolutions more than the back wheel?

    • Options
    • A. 1100
    • B. 1300
    • C. 1400
    • D. 1200
    • Discuss
    • 8. Akhil after travelling 50 km meets Raju who suggests him to go slower. He then proceeds at ¾ of his former speed and arrives at his destination 35 minutes late. Had the meeting occurred 24 km further Akhil would have reached its destination 25 minutes late. What is the initial speed of Akhil?

    • Options
    • A. 48 kmph
    • B. 36 kmph
    • C. 24 kmph
    • D. 20 kmph
    • Discuss
    • 9. Shahrukh starts from Barabanki to Fatehpur , 1 hour after Ajay starts. Shahrukh meets Kajol 1.5 hours after Shahrukh starts. If the speed of Shahrukh is at least 20km/h faster than the speed of Kajol. What is the minimum speed of Shahrukh to overtake Ajay, before he meets Kajol?

    • Options
    • A. 30
    • B. 40
    • C. 60
    • D. None of these
    • Discuss
    • 10. Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions ?

    • Options
    • A. 27 sec
    • B. 31 sec
    • C. 23 sec
    • D. 29 sec
    • Discuss


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