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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 279 · 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 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 84 km upstream and come back?
  2. 2.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  3. 3.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  4. 4.A boat goes 54 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  6. 6.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.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 80 km upstream and come back?
  8. 8.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  9. 9.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  10. 10.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  11. 11.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes at 20 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 111 km upstream and come back?
  13. 13.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  17. 17.A boat goes 50 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)?
  18. 18.Two trains, 60 m and 220 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?
  19. 19.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  20. 20.A boat goes at 17 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 84 km upstream and come back?
  21. 21.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  22. 22.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.Two trains, 200 m and 200 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  25. 25.Two trains, 150 m and 50 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?
  26. 26.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  27. 27.Two trains, 150 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?
  28. 28.A boat goes 95 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A boat goes 38 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.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)?
  31. 31.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  32. 32.A boat goes 36 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  33. 33.Two trains, 120 m and 210 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?
  34. 34.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  35. 35.Two trains, 200 m and 280 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?
  36. 36.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  37. 37.A boat goes 66 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  38. 38.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  39. 39.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  40. 40.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 88
  2. 13
  3. 230
  4. 14
  5. 22
  6. 9
  7. 44
  8. 18
  9. 11
  10. 135
  11. 5
  12. 40
  13. 12
  14. 5
  15. 10
  16. 315
  17. 7
  18. 8
  19. 255
  20. 17
  21. 600
  22. 8
  23. 19
  24. 8
  25. 8
  26. 150
  27. 12
  28. 14
  29. 16
  30. 4
  31. 90
  32. 2
  33. 11
  34. 270
  35. 12
  36. 330
  37. 2
  38. 165
  39. 25
  40. 19

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