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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 790 · 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 44 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)?
  2. 2.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  3. 3.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  4. 4.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 110 km upstream and come back?
  5. 5.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  6. 6.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  7. 7.A boat goes 63 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 88 km upstream and come back?
  11. 11.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  12. 12.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  13. 13.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  14. 14.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 100 m and 50 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  16. 16.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  17. 17.Two trains, 170 m and 180 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?
  18. 18.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
  20. 20.A boat goes 36 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  21. 21.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?
  22. 22.A boat goes 57 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)?
  23. 23.Two trains, 150 m and 95 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?
  24. 24.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 75 km upstream and come back?
  25. 25.A boat goes 65 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.Two trains, 170 m and 130 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?
  27. 27.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  28. 28.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  29. 29.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 45 km upstream and come back?
  30. 30.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  31. 31.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes at 10 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?
  33. 33.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  35. 35.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  37. 37.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 105 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A boat goes 22 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  40. 40.A boat goes 60 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 9
  2. 405
  3. 320
  4. 120
  5. 580
  6. 28
  7. 18
  8. 13
  9. 100
  10. 26
  11. 330
  12. 400
  13. 22
  14. 24
  15. 5
  16. 31
  17. 7
  18. 14
  19. 24
  20. 2
  21. 14
  22. 16
  23. 7
  24. 30
  25. 10
  26. 10
  27. 28
  28. 22
  29. 8
  30. 26
  31. 17
  32. 25
  33. 11
  34. 39
  35. 8
  36. 37
  37. 20
  38. 18
  39. 1
  40. 13

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