TNPSC Group 4 - Time and work problems speed distance and related quantitative aptitude topics. Online Test (MCQ Quiz)

1. If A can complete a work in 10 days and B can complete the same work in 15 days, in how many days can both A and B complete the work together?

A) 5 days B) 6 days C) 7 days D) 8 days

2. A can do a piece of work in 12 days and B can do it in 18 days. They work together for 6 days. The remaining work is done by C alone in 4 days. In how many days can C alone do the work?

A) 10 days B) 12 days C) 15 days D) 18 days

3. Ram can paint a house in 20 days. Sham can paint the same house in 30 days. If they work together, how long will it take them to paint the house?

A) 10 days B) 12 days C) 15 days D) 16 days

4. A can finish a work in 5 days and B can finish it in 10 days. How many days will they take to finish the work if they work together?

A) 2 days B) 3 days C) 3.5 days D) 4 days

5. A man can complete a work in 15 days. He works for 5 days and then B completes the remaining work in 10 days. In how many days can B alone complete the work?

A) 15 days B) 20 days C) 25 days D) 30 days

6. A train traveling at 60 km/hr crosses a platform in 10 seconds. What is the length of the train if the platform is 150 meters long?

A) 100 meters B) 150 meters C) 200 meters D) 250 meters

7. A car travels at a speed of 72 km/hr. How many meters will it cover in 1 minute?

A) 1000 meters B) 1200 meters C) 1500 meters D) 2000 meters

8. Two trains of lengths 100 meters and 150 meters are running on parallel tracks at speeds of 40 km/hr and 50 km/hr respectively. In how much time will they cross each other when running in the same direction?

A) 20 seconds B) 25 seconds C) 30 seconds D) 35 seconds

9. A person walks at 4 km/hr. How long will it take him to walk 6 km?

A) 1 hour B) 1.5 hours C) 2 hours D) 2.5 hours

10. A boat can travel at 10 km/hr in still water. If the speed of the stream is 2 km/hr, what is the time taken by the boat to travel 24 km downstream?

A) 1 hour B) 1.5 hours C) 2 hours D) 2.5 hours

11. A train leaves station A at 8:00 AM and reaches station B at 12:00 PM. If the distance between station A and station B is 400 km, what is the speed of the train?

A) 80 km/hr B) 90 km/hr C) 100 km/hr D) 120 km/hr

12. Two men A and B can complete a work in 10 days and 15 days respectively. They start working together, but A leaves after 5 days. In how many days will B finish the remaining work?

A) 5 days B) 7.5 days C) 10 days D) 12.5 days

13. A can do a work in 20 days and B can do it in 30 days. They work together for 10 days. The remaining work is completed by C in 5 days. In how many days can C alone do the work?

A) 15 days B) 20 days C) 25 days D) 30 days

14. A train 120 meters long passes a pole in 6 seconds. What is the speed of the train in km/hr?

A) 50 km/hr B) 60 km/hr C) 72 km/hr D) 80 km/hr

15. A man covers a distance of 50 km in 10 hours. His average speed is:

A) 4 km/hr B) 5 km/hr C) 6 km/hr D) 7 km/hr

16. Two trains start at the same time from two stations P and Q towards each other. After crossing each other, they take 9 hours and 4 hours respectively to reach their destinations. What is the ratio of their speeds?

A) 2:3 B) 3:2 C) 4:3 D) 3:4

17. A can complete a piece of work in 18 days. B can complete the same work in 24 days. If they work together for 8 days, what fraction of the work is left?

A) 1/3 B) 1/4 C) 2/3 D) 3/4

18. A boat travels upstream at 6 km/hr and downstream at 10 km/hr. What is the speed of the boat in still water?

A) 7 km/hr B) 8 km/hr C) 9 km/hr D) 10 km/hr

19. A train moving at 80 km/hr crosses a man standing on a platform in 5 seconds. What is the length of the train?

A) 100 meters B) 111.11 meters C) 150 meters D) 200 meters

20. If a man walks at 5 km/hr, he reaches his destination 10 minutes late. If he walks at 6 km/hr, he reaches 5 minutes early. What is the distance he has to cover?

A) 20 km B) 25 km C) 30 km D) 35 km

21. A and B can complete a work in 10 days and 12 days respectively. They start working together. After 3 days, A leaves. In how many days will B finish the remaining work?

A) 6 days B) 7 days C) 8 days D) 9 days

22. A can complete a work in 7 days. B can complete the same work in 14 days. If they work together, how many days will it take to complete the work?

A) 4 days B) 4.67 days C) 5 days D) 7 days

23. A train of length 200 meters crosses a bridge in 20 seconds. If the speed of the train is 72 km/hr, what is the length of the bridge?

A) 150 meters B) 200 meters C) 250 meters D) 300 meters

24. A person travels from point A to point B at a speed of 40 km/hr and returns from B to A at a speed of 60 km/hr. What is the average speed for the entire journey?

A) 48 km/hr B) 50 km/hr C) 52 km/hr D) 54 km/hr

25. A car travels the first 100 km at a speed of 50 km/hr and the next 100 km at a speed of 75 km/hr. What is the average speed of the car for the total journey?

A) 55 km/hr B) 60 km/hr C) 65 km/hr D) 70 km/hr

26. A can do a piece of work in 30 days. B can do it in 20 days. They work together for 6 days. The remaining work is done by C in 12 days. In how many days can C alone do the work?

A) 20 days B) 25 days C) 30 days D) 35 days

27. A train traveling at 54 km/hr crosses a signal pole in 10 seconds. What is the length of the train?

A) 100 meters B) 120 meters C) 150 meters D) 180 meters

28. Two trains are running in opposite directions at 60 km/hr and 36 km/hr. If the length of the first train is 150 meters and it crosses a man on the second train in 5 seconds, what is the length of the second train?

A) 80 meters B) 90 meters C) 100 meters D) 120 meters

29. A man can row a boat at 12 km/hr in still water. If the river flows at 4 km/hr, what is the time taken to row 80 km downstream?

A) 4 hours B) 5 hours C) 6 hours D) 7 hours

30. A can complete a work in 16 days. B can complete the same work in 12 days. A starts the work and works for 4 days. Then B joins him. In how many days will the remaining work be completed?

A) 4 days B) 4.5 days C) 5 days D) 6 days

31. A train 100 meters long is moving at 50 km/hr. How long does it take to pass a man standing on the platform?

A) 5.2 seconds B) 6.48 seconds C) 7.2 seconds D) 8.4 seconds

32. A and B can do a work in 30 days and 45 days respectively. They start working together, but B leaves after 15 days. In how many days will A finish the remaining work?

A) 15 days B) 18 days C) 20 days D) 25 days

33. A bus travels from city A to city B in 5 hours. If it reduces its speed by 10 km/hr, it takes 6 hours to cover the same distance. What is the distance between city A and city B?

A) 250 km B) 280 km C) 300 km D) 320 km

34. Two trains, P and Q, start at the same time from two stations X and Y towards each other. After crossing each other, train P takes 6 hours to reach Y and train Q takes 2.4 hours to reach X. What is the ratio of the speeds of P and Q?

A) 2:3 B) 3:2 C) 4:5 D) 5:4

35. A can do a work in 25 days. B can do it in 20 days. They start working together. After 10 days, B leaves. In how many days will A finish the remaining work?

A) 10 days B) 12 days C) 15 days D) 18 days

36. A train 150 meters long crosses a platform in 15 seconds. If the speed of the train is 60 km/hr, what is the length of the platform?

A) 100 meters B) 125 meters C) 150 meters D) 175 meters

37. A person travels from A to B at 30 km/hr and from B to A at 40 km/hr. What is his average speed for the entire journey?

A) 34.28 km/hr B) 35 km/hr C) 34 km/hr D) 36 km/hr

38. A can complete a work in 40 days. B can complete the same work in 60 days. They work together for 10 days. The remaining work is done by C in 15 days. In how many days can C alone do the work?

A) 30 days B) 35 days C) 40 days D) 45 days

39. A train traveling at 90 km/hr crosses a train 150 meters long and traveling in the same direction at 72 km/hr in 25 seconds. What is the length of the first train?

A) 100 meters B) 125 meters C) 150 meters D) 175 meters

40. A man can row a boat at 8 km/hr in still water. If the speed of the stream is 3 km/hr, what is the time taken to row 55 km upstream?

A) 5 hours B) 6 hours C) 7 hours D) 8 hours

41. A and B can do a work in 12 days and 18 days respectively. They start working together. After 6 days, A leaves. In how many days will B finish the remaining work?

A) 6 days B) 7 days C) 8 days D) 9 days

42. A train of length 180 meters crosses a platform in 12 seconds. If the speed of the train is 72 km/hr, what is the length of the platform?

A) 180 meters B) 200 meters C) 220 meters D) 240 meters

43. A journey is completed in 10 hours. The first half of the journey is covered at 30 km/hr and the second half at 40 km/hr. What is the total distance of the journey?

A) 160 km B) 170 km C) 171.4 km D) 180 km

44. A can do a work in 15 days. B can do it in 20 days. They work together for 5 days. The remaining work is done by C in 10 days. In how many days can C alone do the work?

A) 20 days B) 25 days C) 30 days D) 35 days

45. A train traveling at 72 km/hr crosses a signal pole in 5 seconds. What is the length of the train?

A) 50 meters B) 75 meters C) 100 meters D) 125 meters

46. Two trains running in opposite directions cross each other in 15 seconds. The first train is 100 meters long and travels at 60 km/hr. The second train is 150 meters long and travels at 48 km/hr. What is the time taken for the first train to pass a man on the second train?

A) 10 seconds B) 12 seconds C) 15 seconds D) 18 seconds

47. A man can row a boat at 9 km/hr in still water. If the river flows at 3 km/hr, what is the time taken to row 48 km downstream?

A) 3 hours B) 4 hours C) 5 hours D) 6 hours

48. A and B can complete a work in 10 days and 15 days respectively. They start working together. After 4 days, A leaves. In how many days will B finish the remaining work?

A) 6 days B) 7 days C) 8 days D) 9 days

49. A train 200 meters long crosses a platform in 25 seconds. If the speed of the train is 72 km/hr, what is the length of the platform?

A) 300 meters B) 325 meters C) 350 meters D) 375 meters

50. A car travels at 60 km/hr for the first 2 hours and at 80 km/hr for the next 3 hours. What is the average speed of the car for the entire journey?

A) 68 km/hr B) 70 km/hr C) 72 km/hr D) 74 km/hr

Time and work problems speed distance and related quantitative aptitude topics. - Online Test

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