← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 5 · 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 boat goes 51 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  3. 3.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  4. 4.A boat goes 44 km downstream in 4 hours and 4 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  5. 5.A boat goes 36 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.Two trains, 150 m and 75 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  7. 7.A boat goes at 17 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 84 km upstream and come back?
  8. 8.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  9. 9.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  10. 10.A boat goes 51 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  11. 11.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  12. 12.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  13. 13.A boat goes at 15 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 27 km upstream and come back?
  14. 14.Two trains, 100 m and 50 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  15. 15.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  16. 16.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  17. 17.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  18. 18.Two trains, 240 m and 75 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?
  19. 19.A boat goes at 17 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 66 km upstream and come back?
  20. 20.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  21. 21.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  22. 22.A boat goes 60 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)?
  23. 23.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.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?
  25. 25.A boat goes 95 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  28. 28.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  30. 30.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  31. 31.Two trains, 100 m and 260 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?
  32. 32.Two trains, 180 m and 300 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?
  33. 33.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  34. 34.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  35. 35.Two trains, 80 m and 190 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?
  36. 36.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  37. 37.A boat goes 48 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  40. 40.A boat goes at 15 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 108 km upstream and come back?

Answer key

  1. 14
  2. 175
  3. 24
  4. 5
  5. 14
  6. 9
  7. 17
  8. 120
  9. 400
  10. 2
  11. 27
  12. 20
  13. 10
  14. 6
  15. 23
  16. 275
  17. 300
  18. 9
  19. 68
  20. 120
  21. 290
  22. 11
  23. 14
  24. 11
  25. 14
  26. 29
  27. 500
  28. 11
  29. 380
  30. 575
  31. 9
  32. 12
  33. 220
  34. 280
  35. 9
  36. 700
  37. 8
  38. 14
  39. 250
  40. 15

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