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Quant – Time, Speed & Distance – Set 2
Read the following instructions carefully
- The test contains 10 questions.
- Each question has 4 options, of which only one is correct.
- You have to finish the test in 8 minutes.
- You are awarded 1 mark for each correct answer, and 0.25 marks are deducted for each wrong answer.
- There is no negative marking for questions you do not attempt.
- You may pause the test at any time and resume where you left off.
- Your marks, the correct answers and an explanation for every question are shown as soon as you submit.
- You can take this test as many times as you like. A fresh set is drawn each time you reload the page.
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Review this set's questions and answers (opens after you submit the test)
This free practice set from AndamanJobs has 10 questions to be solved in 8 minutes. Every question is listed below with four options. Open Show answer and explanation under a question to see the correct option and why it is correct. Try the timed test above first, then use this list to revise the questions you got wrong.
- Two trains are running with speed 30 km/hr. and 58 km/hr. in the same direction, A man in the slower train passes the faster train 18 seconds. The length (in metres) of the faster train is :
- A. 100
- B. 140
- C. 70
- D. 128
Show answer and explanation
Answer: B. 140
Relative speed = 58 - 30 = 28 km/h = 70/9 m/s. Length = 70/9 × 18 = 140 m.
- Two trains start at the same time for two station A and B toward B and A respectively. If the distance between A and B is 220 km and their speeds are 50km/hr and 60 km/hr respectively then after how much time will they meet each other :
- A. 2 1/2 hr
- B. 1 hr
- C. 3 hr
- D. 2 hr
Show answer and explanation
Answer: D. 2 hr
Closing speed = 50 + 60 = 110 km/h. Time = 220/110 = 2 hours.
- Two trains 105 metres and 90 metres long, runs at the speed of 45km/hr and 72 km/hr respectively, in opposite directions on parallel tracks. The time which they take to cross each other, is :
- A. 5 seconds
- B. 7 seconds
- C. 8 seconds
- D. 6 seconds
Show answer and explanation
Answer: D. 6 seconds
Total length = 195 m. Relative speed = 45 + 72 = 117 km/h = 32.5 m/s. Time = 195/32.5 = 6 seconds.
- A train starts from A at 7 a.m. towards B with speed 50 km/h. Another train starts from B at 8 a.m. with speed 60 km/h towards A. Both of them meet at 10 a.m. at C. The ratio of the distance AC to BC is :
- A. 6 : 5
- B. 5 : 4
- C. 5 : 6
- D. 4 : 5
Show answer and explanation
Answer: B. 5 : 4
Train A runs 3 hours at 50 km/h = 150 km. Train B runs 2 hours at 60 km/h = 120 km. AC : BC = 150 : 120 = 5 : 4.
- Two trains travel in the same direction at the speed of 56 km/h. and 29 km/h. respectively. The faster train passes a man in the slower train in 10 seconds. The length of the faster train (in metres) is :
- A. 100
- B. 120
- C. 75
- D. 80
Show answer and explanation
Answer: C. 75
Relative speed = 56 - 29 = 27 km/h = 7.5 m/s. Length = 7.5 × 10 = 75 m.
- A train passes a platform 60 metre long in 30 seconds and a man standing on the platform in 15 seconds. The speed of the train is :
- A. 14.4 kmph
- B. 21.6 kmph
- C. 12.4 kmph
- D. 18.4 kmph
Show answer and explanation
Answer: A. 14.4 kmph
If the train is L m long at speed v: L = 15v (passes a man). L + 60 = 30v. So 15v + 60 = 30v, v = 4 m/s = 14.4 km/h.
- Ram arrives at a Bank 15 minutes earlier than scheduled time if he drives his car at 42 km/ hr. If he drives a car at 35 km/hr he arrives 5 minutes late. The distance of the Bank from his starting point is :
- A. 210 km
- B. 72 km
- C. 70 km
- D. 60 km
Show answer and explanation
Answer: C. 70 km
The time difference is 15 + 5 = 20 minutes = 1/3 hour. d/35 - d/42 = 1/3 gives d/210 = 1/3, so d = 70 km.
- A train, 150m long, passes a pole in 15 seconds and another train of the same length travelling in the opposite direction in 12 seconds. The speed of the second train is :
- A. 52 km/hr
- B. 48 km/hr
- C. 54 km/hr
- D. 45 km/hr
Show answer and explanation
Answer: C. 54 km/hr
Speed of the first train = 150/15 = 10 m/s. Crossing in opposite directions: 300 m in 12 s = 25 m/s relative, so the second train = 15 m/s = 54 km/h.
- A train travelling at 48 km/hr crosses another train, having half its length and travelling in the opposite direction at 42 km/hr, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the railway platform is :
- A. 200 m
- B. 300 m
- C. 350 m
- D. 400 m
Show answer and explanation
Answer: D. 400 m
Lengths are L and L/2. Relative speed 90 km/h = 25 m/s, so 1.5L = 25 × 12 = 300, L = 200 m. Speed 48 km/h = 40/3 m/s, so train + platform = 40/3 × 45 = 600 m. Platform = 400 m.
- A bus moving at a speed of 45 km/hr overtakes a truck 150 metres ahead going in the same direction in 30 seconds. The speed of the truck :
- A. 25 km/hr
- B. 27 km/hr
- C. 24 km/hr
- D. 28 km/hr
Show answer and explanation
Answer: B. 27 km/hr
Relative speed = 150/30 = 5 m/s = 18 km/h. Truck = 45 - 18 = 27 km/h.