← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 590 · 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 running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  2. 2.A boat goes 95 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  3. 3.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 140 m and 140 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?
  5. 5.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  7. 7.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  8. 8.A boat goes at 19 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 120 km upstream and come back?
  9. 9.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  11. 11.Two trains, 240 m and 160 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?
  12. 12.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  13. 13.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  14. 14.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  15. 15.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  17. 17.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 51 km upstream and come back?
  18. 18.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  19. 19.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 30 km upstream and come back?
  21. 21.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 120 m and 120 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?
  23. 23.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?
  24. 24.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 108 km upstream and come back?
  26. 26.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  27. 27.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 54 km upstream and come back?
  30. 30.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  31. 31.A boat goes 63 km downstream in 3 hours and 57 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.Two trains, 120 m and 180 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?
  34. 34.A boat goes at 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  35. 35.A boat goes 60 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A boat goes 32 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)?
  37. 37.Two trains, 210 m and 120 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?
  38. 38.Two trains, 90 m and 185 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  39. 39.A boat goes 40 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 135
  2. 5
  3. 7
  4. 7
  5. 23
  6. 120
  7. 25
  8. 19
  9. 25
  10. 20
  11. 10
  12. 260
  13. 33
  14. 290
  15. 6
  16. 550
  17. 20
  18. 41
  19. 8
  20. 8
  21. 27
  22. 8
  23. 9
  24. 6
  25. 30
  26. 270
  27. 20
  28. 28
  29. 30
  30. 375
  31. 20
  32. 30
  33. 10
  34. 12
  35. 13
  36. 14
  37. 11
  38. 11
  39. 4
  40. 12

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