← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 726 · 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.Two trains, 80 m and 520 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  2. 2.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  3. 3.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  5. 5.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  6. 6.Two trains, 190 m and 350 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?
  7. 7.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  8. 8.Two trains, 90 m and 270 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  9. 9.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  10. 10.A boat goes 32 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  11. 11.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  12. 12.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 28 km upstream and come back?
  13. 13.A boat goes at 16 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 56 km upstream and come back?
  14. 14.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  15. 15.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  16. 16.Two trains, 80 m and 235 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?
  17. 17.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  19. 19.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  20. 20.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  21. 21.Two trains, 120 m and 320 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?
  22. 22.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 60 m and 210 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  24. 24.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  25. 25.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  26. 26.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 25 km upstream and come back?
  27. 27.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  28. 28.A boat goes 70 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.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?
  30. 30.A boat goes at 16 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 87 km upstream and come back?
  31. 31.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  32. 32.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  34. 34.A boat goes 52 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  37. 37.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  38. 38.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  39. 39.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?

Answer key

  1. 12
  2. 16
  3. 22
  4. 225
  5. 42
  6. 12
  7. 520
  8. 9
  9. 14
  10. 3
  11. 21
  12. 15
  13. 16
  14. 315
  15. 21
  16. 7
  17. 29
  18. 27
  19. 650
  20. 32
  21. 11
  22. 17
  23. 9
  24. 29
  25. 24
  26. 26
  27. 275
  28. 12
  29. 24
  30. 32
  31. 13
  32. 9
  33. 345
  34. 2
  35. 30
  36. 22
  37. 40
  38. 30
  39. 10
  40. 170

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