← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 958 · 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 train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  2. 2.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  3. 3.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  4. 4.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  5. 5.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 24 km upstream and come back?
  6. 6.A boat goes at 15 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 63 km upstream and come back?
  7. 7.A boat goes 28 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)?
  8. 8.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 90 km upstream and come back?
  9. 9.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  10. 10.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  11. 11.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  12. 12.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  13. 13.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 39 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  17. 17.Two trains, 80 m and 130 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  18. 18.A boat goes 52 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)?
  19. 19.A boat goes 85 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  21. 21.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  22. 22.A boat goes 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  24. 24.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  26. 26.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  27. 27.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  28. 28.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  29. 29.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  30. 30.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 84 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  32. 32.A boat goes 95 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes at 20 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 114 km upstream and come back?
  35. 35.A boat goes 36 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  36. 36.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  37. 37.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  38. 38.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  40. 40.Two trains, 90 m and 225 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?

Answer key

  1. 30
  2. 1
  3. 270
  4. 200
  5. 3
  6. 10
  7. 6
  8. 16
  9. 400
  10. 37
  11. 405
  12. 325
  13. 16
  14. 24
  15. 9
  16. 3
  17. 6
  18. 12
  19. 16
  20. 16
  21. 32
  22. 1
  23. 22
  24. 12
  25. 22
  26. 34
  27. 5
  28. 13
  29. 22
  30. 9
  31. 3
  32. 17
  33. 10
  34. 60
  35. 3
  36. 450
  37. 700
  38. 26
  39. 17
  40. 7

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