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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 784 · 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 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  2. 2.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  3. 3.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 30 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.Two trains, 80 m and 170 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?
  6. 6.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  7. 7.A boat goes 42 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  9. 9.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  10. 10.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 80 m and 200 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  12. 12.A boat goes 95 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  13. 13.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 24 km upstream and come back?
  14. 14.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  15. 15.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  16. 16.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  17. 17.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 60 km upstream and come back?
  18. 18.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  19. 19.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  22. 22.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 80 km upstream and come back?
  23. 23.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?
  24. 24.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  25. 25.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 26 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.A boat goes 69 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 108 km upstream and come back?
  29. 29.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  30. 30.A boat goes at 16 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 120 km upstream and come back?
  31. 31.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes 110 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)?
  35. 35.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  36. 36.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  37. 37.A boat goes 69 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  39. 39.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?

Answer key

  1. 625
  2. 275
  3. 29
  4. 13
  5. 10
  6. 160
  7. 19
  8. 18
  9. 550
  10. 12
  11. 7
  12. 2
  13. 8
  14. 26
  15. 20
  16. 300
  17. 21
  18. 190
  19. 12
  20. 6
  21. 19
  22. 30
  23. 10
  24. 27
  25. 11
  26. 2
  27. 18
  28. 33
  29. 26
  30. 16
  31. 21
  32. 1
  33. 21
  34. 17
  35. 125
  36. 290
  37. 5
  38. 40
  39. 2
  40. 26

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