← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 38 · 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 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  2. 2.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 120 m and 100 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?
  4. 4.Two trains, 120 m and 55 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?
  5. 5.A boat goes 65 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  6. 6.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  7. 7.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  8. 8.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  9. 9.Two trains, 70 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?
  10. 10.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 88 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  13. 13.Two trains, 90 m and 50 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?
  14. 14.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 96 km upstream and come back?
  16. 16.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  18. 18.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  19. 19.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  20. 20.A boat goes 51 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  21. 21.A boat goes 96 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  23. 23.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 18 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  25. 25.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 21 km upstream and come back?
  26. 26.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  28. 28.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  29. 29.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  30. 30.A boat goes 40 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  32. 32.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 24 km upstream and come back?
  34. 34.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 66 km upstream and come back?
  35. 35.Two trains, 80 m and 270 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?
  36. 36.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  37. 37.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  38. 38.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  39. 39.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 102 km upstream and come back?
  40. 40.Two trains, 80 m and 95 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?

Answer key

  1. 13
  2. 27
  3. 11
  4. 5
  5. 5
  6. 18
  7. 23
  8. 14
  9. 7
  10. 24
  11. 19
  12. 285
  13. 7
  14. 7
  15. 22
  16. 13
  17. 15
  18. 30
  19. 60
  20. 3
  21. 4
  22. 14
  23. 12
  24. 3
  25. 10
  26. 28
  27. 360
  28. 24
  29. 14
  30. 1
  31. 31
  32. 12
  33. 15
  34. 28
  35. 10
  36. 14
  37. 725
  38. 39
  39. 108
  40. 5

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