← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 496 · 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 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.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 90 km upstream and come back?
  4. 4.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  6. 6.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 70 m and 130 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?
  9. 9.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  12. 12.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)?
  13. 13.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  14. 14.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 70 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  18. 18.Two trains, 100 m and 140 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?
  19. 19.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  20. 20.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  21. 21.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 54 km upstream and come back?
  22. 22.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  24. 24.Two trains, 150 m and 255 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  25. 25.A boat goes 100 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)?
  26. 26.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  27. 27.Two trains, 110 m and 90 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?
  28. 28.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  29. 29.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  30. 30.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  33. 33.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  34. 34.Two trains, 70 m and 205 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?
  35. 35.A boat goes 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  36. 36.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  37. 37.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  38. 38.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  39. 39.Two trains, 100 m and 60 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?
  40. 40.A boat goes 75 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 22
  2. 11
  3. 24
  4. 13
  5. 21
  6. 27
  7. 17
  8. 4
  9. 29
  10. 20
  11. 31
  12. 20
  13. 14
  14. 25
  15. 21
  16. 3
  17. 17
  18. 6
  19. 315
  20. 400
  21. 20
  22. 14
  23. 36
  24. 9
  25. 18
  26. 540
  27. 10
  28. 28
  29. 33
  30. 10
  31. 7
  32. 210
  33. 23
  34. 11
  35. 1
  36. 180
  37. 26
  38. 28
  39. 8
  40. 14

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