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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 840 · 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 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 26 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 25 km upstream and come back?
  5. 5.A boat goes 32 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  7. 7.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  9. 9.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  10. 10.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.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 17 km upstream and come back?
  12. 12.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  13. 13.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  14. 14.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  15. 15.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  16. 16.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 100 km upstream and come back?
  17. 17.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 105 km upstream and come back?
  18. 18.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  19. 19.Two trains, 60 m and 185 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?
  20. 20.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  22. 22.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  23. 23.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 92 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A boat goes 52 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.Two trains, 60 m and 325 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?
  27. 27.A boat goes 80 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A boat goes 36 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  29. 29.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  30. 30.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  32. 32.Two trains, 90 m and 230 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?
  33. 33.Two trains, 90 m and 225 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?
  34. 34.A boat goes 26 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A boat goes at 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 81 km upstream and come back?
  36. 36.A boat goes 75 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  37. 37.A boat goes at 17 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  38. 38.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  39. 39.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?

Answer key

  1. 22
  2. 4
  3. 21
  4. 6
  5. 11
  6. 29
  7. 26
  8. 440
  9. 25
  10. 12
  11. 18
  12. 120
  13. 12
  14. 13
  15. 19
  16. 55
  17. 112
  18. 32
  19. 7
  20. 19
  21. 24
  22. 315
  23. 24
  24. 18
  25. 11
  26. 11
  27. 14
  28. 4
  29. 130
  30. 7
  31. 220
  32. 8
  33. 9
  34. 10
  35. 84
  36. 4
  37. 17
  38. 26
  39. 10
  40. 50

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