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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 838 · 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 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  3. 3.Two trains, 220 m and 80 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?
  4. 4.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 22 km upstream and come back?
  5. 5.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  7. 7.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  8. 8.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  9. 9.A boat goes at 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  10. 10.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  11. 11.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)?
  12. 12.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  13. 13.Two trains, 100 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?
  14. 14.A train running at 36 km/h passes a pole in 24 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 boat goes 51 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 70 km upstream and come back?
  18. 18.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  19. 19.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?
  20. 20.A boat goes 75 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  22. 22.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  23. 23.A boat goes at 14 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 115 km upstream and come back?
  24. 24.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 50 m and 490 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?
  26. 26.Two trains, 70 m and 105 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?
  27. 27.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  28. 28.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  29. 29.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 55 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.Two trains, 160 m and 50 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  33. 33.A boat goes at 19 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 96 km upstream and come back?
  34. 34.Two trains, 50 m and 110 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?
  35. 35.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  36. 36.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  37. 37.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  38. 38.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  39. 39.Two trains, 240 m and 80 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?
  40. 40.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?

Answer key

  1. 26
  2. 20
  3. 12
  4. 24
  5. 27
  6. 38
  7. 16
  8. 20
  9. 14
  10. 165
  11. 6
  12. 33
  13. 10
  14. 240
  15. 6
  16. 16
  17. 24
  18. 29
  19. 54
  20. 2
  21. 27
  22. 31
  23. 28
  24. 25
  25. 12
  26. 7
  27. 34
  28. 37
  29. 11
  30. 28
  31. 7
  32. 6
  33. 19
  34. 8
  35. 18
  36. 38
  37. 21
  38. 22
  39. 8
  40. 285

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