← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 350 · 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 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 45 km upstream and come back?
  3. 3.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  4. 4.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  5. 5.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  6. 6.Two trains, 50 m and 100 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?
  7. 7.A boat goes 22 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 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  9. 9.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 24 km upstream and come back?
  10. 10.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  11. 11.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  12. 12.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 51 km upstream and come back?
  13. 13.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  14. 14.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  15. 15.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.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 84 km upstream and come back?
  17. 17.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  19. 19.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  21. 21.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  22. 22.Two trains, 60 m and 300 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?
  23. 23.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  24. 24.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  25. 25.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  26. 26.Two trains, 230 m and 220 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?
  27. 27.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 90 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  30. 30.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  31. 31.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  32. 32.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  33. 33.Two trains, 190 m and 160 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  34. 34.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  35. 35.A boat goes 105 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 120 km upstream and come back?
  38. 38.A boat goes 48 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  40. 40.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?

Answer key

  1. 14
  2. 50
  3. 160
  4. 23
  5. 340
  6. 5
  7. 2
  8. 25
  9. 7
  10. 15
  11. 35
  12. 54
  13. 500
  14. 37
  15. 19
  16. 24
  17. 6
  18. 120
  19. 15
  20. 36
  21. 550
  22. 9
  23. 34
  24. 24
  25. 34
  26. 9
  27. 12
  28. 17
  29. 375
  30. 24
  31. 30
  32. 29
  33. 10
  34. 180
  35. 3
  36. 17
  37. 40
  38. 1
  39. 14
  40. 90

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