SPEED, TIME AND DISTANCE (CDS)

Total Questions: 54

31. In a race of 1000 m, A beats B by 100 m or 10 s. If they start a race of 1000 m simultaneously from the same point and if B gets injured after running 50 m less than half the race length and due to which his speed gets halved, then by how much time will A beat B? [2016 (I) Morning Shift ]

Correct Answer: (a) 65 s
Solution:Since, either A beats B by 100 m or 10 s. It means that B runs 100 m in 10 s.


32. A man walking at 5 km/h noticed that a 225 m long train coming in the opposite direction crossed him in 9 s. The speed of the train is

Correct Answer: (c) 85 km/h
Solution:Let the speed of the train = x km/h

33. A cyclist moves non-stop from A to B, a distance of 14 km, at a certain average speed. If his average speed reduces by 1 km/h, then he takes 20 min more to cover the same distance. The original average speed of the cyclist is [2016 (I) Morning Shift ]

Correct Answer: (c) 7 km/h
Solution:Let the original average speed of cyclist = x km/h


34. A clock strikes once at 1 O’clock, twice at 2 O’clock and thrice at 3 O’clock and so on. If it takes 8 s to strike at 5 O’clock, then time taken by it to strike at 10 O’clock is [2016 (I) Morning Shift ]

Correct Answer: (b) 16 s
Solution:∵ A clock takes time to strike at 5 O’clock = 8 s

35. A person goes to a market between 4 pm and 5 pm when he comes back, he finds that the hour hand and the minute hand of the clock have interchanged their positions. For how much time (approximately) was he out of his house? [2016 (I) Morning Shift ]

Correct Answer: (a) 55.38 min
Solution:Since, both of the hands are interchanging their positions, minute hand is taking the place of the hour hand and the hour hand is taking the place of minute hand.

36. Two trains are moving in the same direction at 1.5 km/min and 60 km/h, respectively. A man in the faster train observes that it takes 27 s to cross the slower train. The length of the slower train is [2015 (II) Evening Shift ]

Correct Answer: (a) 225 m
Solution:Let the length of the slower train = x Speed of faster train = 1.5 km/min

37. In a race A, B and C take part. A beats B by 30 m, B beats C by 20 m and A beats C by 48 m. Which of the following is/are correct? [2015 (II) Evening Shift ]

1. The length of the race is 300 m.
2. The speeds of A, B and C are in the ratio 50 : 45 : 42.

Select the correct answer using codes given below.

Correct Answer: (c) Both 1 and 2
Solution:

38. A motor boat, whose speed is 15km/h in still water goes 30 km downstream and comes back in a total of 4 h and 30 min. The speed of the stream is [2015 (II) Evening Shift ]

Correct Answer: (b) 5 km/h
Solution:Let speed of stream be x km/h.


39. By increasing the speed of his car by 15km/h, a person covers 300 km distance by taking an hour less than before. The original speed of the car was [2015 (II) Evening Shift ]

Correct Answer: (c) 60 km/h
Solution:Let the original speed of car be x km/h.

40. Two trains, one is of 121 m in length at the speed of 40 km/h and the other is of 99 m in length at the speed of 32 km/h are running in opposite directions. In how much time will they be completely clear from each other from the moment they meet ? [2015 (II) Evening Shift ]

Correct Answer: (b) 11 s
Solution:Total length of train = 121 + 99 = 220 m