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Speed and Distance

                                           Speed and Distance        

1.A boy runs 200 metres  in 24 seconds. What is his speed ?

      a) 20 km/hr         b) 24 km/hr       c) 28.5 km/hr   d) 30 km/hr. 

2. If the speed of a man is 45 km per hour, then what is the distance traveled by him in 30 seconds ?
          a) 275m           b)360m            c)375 m           d) 420 m


3. An escalator moves towards the top level at the rate of 11 ft.sec and its length is 140 feet. If a person

   walks on the moving escalator at the rate of 3 feet per second towards the top level, how much time
   does he take to cover the entire length.
a) 14 sec          b) 10 sec          c) 12 sec          d)8 sec


4. Two trains, 250 metres and 150 metres long respectively, are running on     parallel lines. If they are  running in the same directions, the faster train crosses the slower train in 40 seconds. If they are  moving in the opposite direction they pass each other in eight seconds. What is the speed of the slower train?
a) 108kmph     b) 82kmph       c)92 kmph       d) 72 kmph


5. Two persons , Ram & Lakshman , who are at a distance of 100 km from each other, move towards each other from two places P and Q at speeds of 20 kmph and 25 kmph respectively. Lakshman reaches P,returns immediately and meets Ram at R, who started on the return journey to P immediately after reaching Q. What is the distance between Q and R?
a)  33 1/3 km   b) 25 km          c)30km            d)27 1/3  km


6. With out any halt a train  travels a certain distance with an average speed of 75 km ph , and with halts it covers the same distance at an average speed of 60 kmph. When it is traveling with halts, how many minutes/per hour does the train halt on an average ?
a)48 min.         b)12min.                      c)15min.                      d)18min.


7. A lady starts from P towards Q and realizes that at a point R, if he walks 50 km further he will be at a point S, which is as far away from R as it is from Q. What is the distance between P and Q if the distance between P and R is half the distance from R to Q?( Assume that P, Q, R and S are all on the same straight line)
a) 150 km        b)200 km         c)250 km         d)125 km 


8. In a 1000 m race Usha beats Shiny by 50 m. In the same race, by what time margin Shiny beat Mercy who runs at 4 m/s ?
 a) 100 sec.       B) 50 sec         c) 25 sec          d) Data not sufficient


9. A and B participate in a 5000 m bicycle race which is being  run on a circular track of 500 m. If the speed of A and B are 20 m/s and 10 m/s respectively, what is the distance covered by A when he passes B for the seventh time ?
a) 2500            b) 2800            c) 4000 m        4) situation is not possible


10. Two buses  A and B leave the same bus depot, A towards the North and B towads the East. The bus A travels at a speed of 5 km/hr more than that of the bus B. If after four hours the distance between the two buses is 100 km, find the speed of the bus A.
a) 60 kmph      b) 40 kmph      c) 20 kmph      d) 15 kmph
  

11. A person traveled from his house to office at 30 kmph; then he was late to his office by 5 minutes. If he increases his speed by 10 kmph he would be early by 15 minutes to his office. What should be his speed so that he reaches his office on time ?
         a) 36 kmph     b) 32 kmph      c) 34 kmph      d)35 kmph

12. A train 575 m long crosses a tunnel  of length 325  in 90 sec. What is the speed of the train in kmph.
      a) 28          b)32     c)36     d)24 

13. A train which has 390 m long, is running 45 kmph. In what time will it cross a person moving at 9 kmph in same direction ?
      a) 26 sec          b) 39 sec          c)36 sec           d)29 sec.

14. Two persons start running simultaneously around a circular track of length 400 m from the same point at speeds of 15 kmph and 25 kmph. When will they meet for the first time any where on the track if they are moving in the opposite direction ?
     a)144         b)36                 c) 124              d)32


15. Two  persons C & D started traveling from A and B which are 300 km apart, towards B and  A respectively at 1.00 p.m. C travels at a constant speed of 30 kmph whereas D doubles his speed every hour. If D reaches A in 4 5/8 hours, at what time did C and D meet each other ?
          a) 4:30 p.m.     b) 4:40 p.m.     c) 5:00 p.m.     d) 5:10 p.m.  


16. Two trains T1 and T2 start simultaneously from two stations X and Y respectively towards each other. If they are 70 km apart both 3  and 6 hours after start, then find the distance between the two stations.
         a) 210 km        b)240 km                     c)220km          d)180km


17. Ajith and Rana walk around a circular course 115 km in circumference, starting together from the same point. If they walk at speed of 4 and 5 kmph respectively, in the same direction, when will they meet ?
         a) after 20 hours b) after 115 hours    c) after 115 minutes    d) after 20 minutes 


18. There are 4 people who has to cross a stretch of 300 km. They normally run at a speed of 10 kmph. One of them has a bike that travels at 50 kmph. The bike first takes one person alone and crosses the stretch while the other two keep running. Then he comes back without wasting time and picks upanother person from the way, drives him across the stretch, and does the same for the last person. How  long does this whole process take?
            a)24 hrs           b)16 hrs           c) 56/3 hrs       d) 58/3 hrs


 19. Ragav took a bus from home to market, that travels at 40 kmph. While walking back at 4 kmph,

      halfway through, he suddenly realized he was getting late and he cycled back the remaining distance in
      30 kmph. Find the average speed.
            a) 6.5 kmph     b)12.0 kmph    c)28.5 kmph    d) none of these


20. Two trains of equal length 120 metres move in the same direction. The faster train completely

    overtakes the slower one in 15 seconds. If the slower train were to move at half its speed, the over
    taking would take in 10 seconds. At what speeds are the 2 trains moving (faster and slower respectively
    in m/s)

       a) 24, 22 b) 32, 16 c)30, 18 d) 28, 14


 Note: Take a comment for  solution any question

3 comments:

  1. Can i get the solution of ques. 15 sir

    ReplyDelete
  2. Thanks for comment ..
    15. Let speed of D in first hour = x

    D’s speed = x+ 2x+ 4x+ 8x+ 16x*(5/8) = 25x

    Given 25x=300 :. X = 12

    At the end of four hours C traveled 120 (30 *4) kmph and D traveled 12 + 24+ 48 +96 = 180kmph

    :. They meet each other after 4 hours ie at 5: p.m.

    ReplyDelete