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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 76 · 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 9 seconds. How long is the train (in metres)?
  2. 2.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  3. 3.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.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?
  5. 5.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 9 km upstream and come back?
  6. 6.A boat goes at 15 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 63 km upstream and come back?
  7. 7.Two trains, 230 m and 50 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?
  8. 8.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  10. 10.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 96 km upstream and come back?
  11. 11.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  13. 13.Two trains, 140 m and 220 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?
  14. 14.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 70 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 220 m and 60 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?
  18. 18.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  20. 20.A boat goes 52 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)?
  21. 21.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  23. 23.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 100 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  25. 25.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  26. 26.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  29. 29.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  30. 30.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  32. 32.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 32 km upstream and come back?
  33. 33.A boat goes 44 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  35. 35.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  36. 36.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  38. 38.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  39. 39.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  40. 40.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?

Answer key

  1. 90
  2. 22
  3. 6
  4. 8
  5. 10
  6. 10
  7. 7
  8. 24
  9. 38
  10. 14
  11. 16
  12. 24
  13. 12
  14. 13
  15. 9
  16. 27
  17. 8
  18. 14
  19. 23
  20. 10
  21. 25
  22. 260
  23. 17
  24. 2
  25. 90
  26. 28
  27. 19
  28. 675
  29. 1
  30. 6
  31. 36
  32. 12
  33. 3
  34. 18
  35. 240
  36. 6
  37. 7
  38. 11
  39. 31
  40. 27

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