← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 133 · 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 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  3. 3.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  4. 4.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  5. 5.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?
  6. 6.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  7. 7.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  11. 11.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  14. 14.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  15. 15.Two trains, 190 m and 50 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  16. 16.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  17. 17.A boat goes 85 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  20. 20.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  21. 21.Two trains, 200 m and 205 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?
  22. 22.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  23. 23.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  24. 24.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  25. 25.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  27. 27.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  28. 28.A boat goes 115 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  30. 30.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  31. 31.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  32. 32.Two trains, 230 m and 250 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  33. 33.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  34. 34.A boat goes at 16 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 60 km upstream and come back?
  35. 35.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  36. 36.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 16 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 62 km upstream and come back?
  38. 38.Two trains, 130 m and 70 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  39. 39.A boat goes at 20 km/h in still water. The river flows at 19 km/h. How many hours does the boat take to go 39 km upstream and come back?
  40. 40.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 8
  2. 135
  3. 225
  4. 17
  5. 20
  6. 420
  7. 1
  8. 28
  9. 150
  10. 11
  11. 25
  12. 14
  13. 20
  14. 35
  15. 6
  16. 24
  17. 3
  18. 21
  19. 50
  20. 19
  21. 9
  22. 275
  23. 28
  24. 39
  25. 24
  26. 7
  27. 27
  28. 20
  29. 20
  30. 26
  31. 32
  32. 12
  33. 120
  34. 8
  35. 375
  36. 18
  37. 64
  38. 10
  39. 40
  40. 23

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