← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 805 · 40 questions
TalentJR

The method (Length and relative speed): Change km/h to m/s (× 5/18) when lengths are in metres and time in seconds. Pole: time = train length ÷ speed. Platform: (train + platform) ÷ speed. Towards each other: add the speeds; same direction: take them away. Cover both lengths. Downstream = boat + stream; upstream = boat − stream. Boat = (down + up) ÷ 2; stream = (down − up) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 105 km upstream and come back?
  2. 2.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  3. 3.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 80 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  8. 8.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  9. 9.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  11. 11.A boat goes 30 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  13. 13.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 105 km upstream and come back?
  14. 14.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  15. 15.A boat goes 115 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  16. 16.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  17. 17.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  18. 18.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  19. 19.A boat goes 76 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?
  22. 22.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  23. 23.A boat goes 100 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.Two trains, 110 m and 115 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  25. 25.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 80 km upstream and come back?
  26. 26.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 70 km upstream and come back?
  27. 27.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  28. 28.A boat goes 75 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  30. 30.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  31. 31.A boat goes at 16 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 78 km upstream and come back?
  32. 32.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 80 km upstream and come back?
  34. 34.A boat goes 40 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  36. 36.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.Two trains, 220 m and 320 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  38. 38.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 36
  2. 345
  3. 7
  4. 8
  5. 21
  6. 11
  7. 225
  8. 460
  9. 27
  10. 34
  11. 11
  12. 24
  13. 112
  14. 420
  15. 3
  16. 150
  17. 330
  18. 275
  19. 15
  20. 12
  21. 34
  22. 580
  23. 19
  24. 5
  25. 25
  26. 42
  27. 20
  28. 11
  29. 21
  30. 39
  31. 16
  32. 14
  33. 24
  34. 3
  35. 180
  36. 6
  37. 12
  38. 9
  39. 8
  40. 30

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude