← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 220 · 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 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  2. 2.Two trains, 50 m and 335 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?
  3. 3.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  4. 4.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  5. 5.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  6. 6.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  7. 7.A boat goes 42 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  10. 10.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  11. 11.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes 36 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  13. 13.Two trains, 90 m and 460 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?
  14. 14.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  15. 15.Two trains, 120 m and 130 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?
  16. 16.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  17. 17.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  20. 20.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 57 km upstream and come back?
  21. 21.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  22. 22.A boat goes at 15 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 112 km upstream and come back?
  23. 23.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  24. 24.A boat goes 30 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  27. 27.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  29. 29.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  30. 30.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  31. 31.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.Two trains, 220 m and 50 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  35. 35.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 105 km upstream and come back?
  36. 36.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 46 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 18
  2. 11
  3. 280
  4. 29
  5. 300
  6. 16
  7. 9
  8. 16
  9. 34
  10. 360
  11. 25
  12. 2
  13. 11
  14. 20
  15. 5
  16. 460
  17. 7
  18. 6
  19. 17
  20. 22
  21. 540
  22. 15
  23. 14
  24. 4
  25. 13
  26. 26
  27. 8
  28. 24
  29. 27
  30. 345
  31. 26
  32. 8
  33. 17
  34. 9
  35. 50
  36. 6
  37. 29
  38. 23
  39. 16
  40. 19

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