← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 309 · 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 120 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  2. 2.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  3. 3.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  4. 4.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 36 km upstream and come back?
  6. 6.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  7. 7.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  8. 8.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  9. 9.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  11. 11.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 32 km upstream and come back?
  12. 12.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  13. 13.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 16 km upstream and come back?
  14. 14.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  15. 15.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  16. 16.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 24 km upstream and come back?
  17. 17.Two trains, 100 m and 60 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  18. 18.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  20. 20.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  21. 21.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 42 km upstream and come back?
  22. 22.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  23. 23.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 42 km upstream and come back?
  24. 24.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  25. 25.A boat goes 54 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 120 m and 60 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  29. 29.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  30. 30.A boat goes 60 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  31. 31.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 36 km upstream and come back?
  32. 32.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  33. 33.A boat goes 60 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  35. 35.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  36. 36.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  37. 37.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 120 m and 330 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?
  40. 40.A boat goes 80 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 5
  2. 580
  3. 29
  4. 15
  5. 40
  6. 195
  7. 60
  8. 31
  9. 12
  10. 1
  11. 12
  12. 14
  13. 5
  14. 20
  15. 350
  16. 7
  17. 4
  18. 10
  19. 26
  20. 28
  21. 20
  22. 460
  23. 44
  24. 30
  25. 17
  26. 13
  27. 20
  28. 4
  29. 23
  30. 2
  31. 15
  32. 120
  33. 3
  34. 725
  35. 18
  36. 24
  37. 22
  38. 30
  39. 10
  40. 2

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