← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 86 · 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 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  2. 2.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  4. 4.Two trains, 150 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?
  5. 5.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.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)?
  7. 7.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 40 km upstream and come back?
  8. 8.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  9. 9.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  11. 11.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  12. 12.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  13. 13.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 22 km upstream and come back?
  14. 14.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  15. 15.Two trains, 60 m and 60 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  16. 16.Two trains, 70 m and 200 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  17. 17.Two trains, 80 m and 160 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  18. 18.Two trains, 130 m and 230 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?
  19. 19.Two trains, 210 m and 60 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?
  20. 20.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  22. 22.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  23. 23.Two trains, 100 m and 50 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 boat goes 34 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  26. 26.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  29. 29.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  31. 31.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  33. 33.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  34. 34.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 117 km upstream and come back?
  35. 35.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?
  36. 36.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  37. 37.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  38. 38.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  39. 39.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  40. 40.A boat goes 84 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 18
  2. 8
  3. 435
  4. 10
  5. 16
  6. 20
  7. 24
  8. 29
  9. 420
  10. 18
  11. 27
  12. 39
  13. 12
  14. 17
  15. 4
  16. 9
  17. 8
  18. 8
  19. 9
  20. 16
  21. 21
  22. 34
  23. 5
  24. 15
  25. 200
  26. 26
  27. 25
  28. 25
  29. 19
  30. 540
  31. 17
  32. 22
  33. 26
  34. 48
  35. 16
  36. 31
  37. 41
  38. 150
  39. 2
  40. 4

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