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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 907 · 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 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  2. 2.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)?
  3. 3.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 96 km upstream and come back?
  4. 4.A boat goes 16 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  7. 7.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 105 km upstream and come back?
  8. 8.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 120 km upstream and come back?
  9. 9.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?
  10. 10.Two trains, 100 m and 215 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?
  11. 11.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  12. 12.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  13. 13.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes 84 km downstream in 4 hours and 76 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  16. 16.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes at 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  18. 18.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  20. 20.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?
  21. 21.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?
  22. 22.A boat goes 38 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.Two trains, 50 m and 70 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 running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  25. 25.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  26. 26.Two trains, 190 m and 90 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?
  27. 27.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  29. 29.A boat goes 115 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  30. 30.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 150 m and 120 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  32. 32.A boat goes 60 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  35. 35.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  37. 37.Two trains, 230 m and 220 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?
  38. 38.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  39. 39.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 48 km upstream and come back?
  40. 40.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?

Answer key

  1. 315
  2. 6
  3. 36
  4. 6
  5. 9
  6. 4
  7. 110
  8. 45
  9. 26
  10. 9
  11. 33
  12. 460
  13. 5
  14. 20
  15. 19
  16. 17
  17. 10
  18. 16
  19. 520
  20. 34
  21. 28
  22. 3
  23. 6
  24. 280
  25. 50
  26. 7
  27. 7
  28. 32
  29. 4
  30. 22
  31. 9
  32. 1
  33. 11
  34. 160
  35. 24
  36. 28
  37. 10
  38. 25
  39. 20
  40. 45

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