← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 740 · 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 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  2. 2.A train 560 m long runs at 72 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 26 seconds. How long is the train (in metres)?
  4. 4.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)?
  5. 5.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  7. 7.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  8. 8.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  9. 9.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  10. 10.Two trains, 100 m and 200 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?
  11. 11.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?
  12. 12.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  13. 13.Two trains, 50 m and 370 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?
  14. 14.Two trains, 130 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?
  15. 15.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  17. 17.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  18. 18.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 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 train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  21. 21.A boat goes 54 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  23. 23.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.Two trains, 50 m and 390 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?
  25. 25.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?
  26. 26.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  27. 27.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  28. 28.Two trains, 250 m and 170 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?
  29. 29.A boat goes 26 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  30. 30.A boat goes 90 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  31. 31.A boat goes at 17 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 60 km upstream and come back?
  32. 32.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  33. 33.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  35. 35.Two trains, 220 m and 95 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?
  36. 36.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  38. 38.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  39. 39.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  40. 40.Two trains, 100 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?

Answer key

  1. 170
  2. 28
  3. 390
  4. 14
  5. 15
  6. 25
  7. 31
  8. 24
  9. 24
  10. 12
  11. 22
  12. 31
  13. 12
  14. 6
  15. 22
  16. 15
  17. 26
  18. 36
  19. 8
  20. 23
  21. 14
  22. 22
  23. 17
  24. 11
  25. 20
  26. 260
  27. 700
  28. 12
  29. 3
  30. 5
  31. 17
  32. 38
  33. 8
  34. 36
  35. 9
  36. 11
  37. 70
  38. 36
  39. 225
  40. 10

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