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GS Prelims Paper II Time & Distance up to 2019

Civil Services Examination 2019


1. X, Y and Z are three contestants in a race of 1000 m. Assume that all run with different uniform speeds. X gives Y a start of 40 m and X gives Z a start of 64 m. If Y and Z were to compete in a race of 1000 m, how many metres start will Y give to Z?

  1. 20
  2. 25
  3. 30
  4. 35


Civil Services Examination 2018


1. A Train 200 metres long is moving at the rate of 40 kmph. In how many seconds will it cross a man standing near the railway line?

  1. 12
  2. 15
  3. 16
  4. 18


2. Two persons, A and B are running on a circular track. At the start, B is ahead of A and their positions make an angle of 30° at the centre of the circle. When A reaches the point diametrically opposite to his starting point, he meets B. What is the ratio of speeds of A and B, if they are running with uniform speeds?

  1. 6 : 5
  2. 4 : 3
  3. 6 : 1
  4. 4 : 2


3. The figure drawn below gives the velocity graphs of two vehicles A and B. The straight line OKP represents the velocity of vehicle A at any instant, whereas the horizontal straight line CKD represents the velocity of vehicle B at any instant. In the figure, D is the point where perpendicular from P meets the horizontal line CKD such that PD = 1/2 LD: What is the ratio between the distances covered by vehicles A and B in the time interval OL?

  1. 1 : 2
  2. 2 : 3
  3. 3 : 4
  4. 1 : 1


Civil Services Examination 2017


1. A freight train left Delhi for Mumbai at an average speed of 40 km/hr. Two hours later, an express train left Delhi for Mumbai, following the freight train on a parallel track at an average speed of 60 km/hr. How far from Delhi would the express train meet the freight train?

  1. 480 km
  2. 260 km
  3. 240 km
  4. 120 km


Civil Services Examination 2016


1. A and B walk around a circular park. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other after 8 00 a.m. and before 9.30. a.m.?

  1. 7
  2. 6
  3. 5
  4. 8


Civil Services Examination 2015


1. In a 500 metres race, B starts 45 metres ahead of A, but A wins the race while B is still 35 metres behind. What is the ratio of the speeds of A to B assuming that both start at the same time?

  1. 25: 21
  2. 25: 20
  3. 5:3
  4. 5:7


2. Two cities A and B are 360 km apart. A car goes from A to B with a speed of 40 km/hr and returns to A with a speed of 60 km/hr. What is the average speed of the car?

  1. 45 km/hr
  2. 48 km/hr
  3. 50 km/hr
  4. 55 km/hr


Civil Services Examination 2014


1. A worker reaches his factory 3 minutes late if his speed from his house to the factory is 5 km/hr. If he walks at a speed of 6 km/hr, then he reaches the factory 7 minutes early. The distance of the factory from his house is

  1. 3 km
  2. 4 km
  3. 5 km
  4. 6 km


2. Two cars start towards each other, from two places A and B which are at a distance of 160 km. They start at the same time 08 : 10 AM. If the speeds of the cars are 50 km and 30 km per hour respectively, they will meet each other at

  1. 10 : 10 AM
  2. 10 : 30 AM
  3. 11 : 10 AM
  4. 11 : 20 AM


Civil Services Examination 2013


1. A thief running at 8 km/hr is chased by a policeman whose speed is 10 km/hr. If the thief is 100 m ahead of the policeman, then the time required for the policeman to catch the thief will be

  1. 2 min
  2. 3 min
  3. 4 min
  4. 6 min


2. A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original speed of the train in km/hr?

  1. 24
  2. 33
  3. 42
  4. 66


3. A person can walk a certain distance and drive back in six hours. He can also walk both ways in 10 hours. How much time will he take to drive both ways?

  1. Two hours
  2. Two and a half hours
  3. Five and a half hours
  4. Four hours


Civil Services Examination 2012


1. Mr. Kumar drives to work at an average speed of 48km/hr. The time taken to cover the first 60% of the distance is 10 minutes more than the time taken to cover the remaining distance. How far is his office?

  1. 30 km
  2. 40 km
  3. 45 km
  4. 48 km


Civil Services Examination 2011


1. If a bus travels 160 km in 4 hours and a train travels 320 km in 5 hours at uniform speeds, then what is the ratio of the distances travelled by them in one hour?

  1. 8 : 5
  2. 5 : 8
  3. 4 : 5
  4. 1 : 2