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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 969 · 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 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.Two trains, 150 m and 50 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?
  3. 3.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 112 km upstream and come back?
  4. 4.A boat goes 51 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.Two trains, 170 m and 75 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?
  6. 6.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 96 km upstream and come back?
  7. 7.Two trains, 50 m and 200 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?
  8. 8.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 24 km upstream and come back?
  9. 9.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  10. 10.A boat goes 56 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.Two trains, 130 m and 290 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?
  12. 12.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  13. 13.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  14. 14.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 33 km downstream in 3 hours and 3 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes 63 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  19. 19.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  21. 21.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 96 km upstream and come back?
  22. 22.A boat goes at 19 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 105 km upstream and come back?
  23. 23.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  24. 24.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  25. 25.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  26. 26.A boat goes 40 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.Two trains, 70 m and 110 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?
  28. 28.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  29. 29.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  30. 30.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  31. 31.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 18 km upstream and come back?
  32. 32.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  33. 33.Two trains, 100 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?
  34. 34.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  35. 35.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  36. 36.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  37. 37.A boat goes 30 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 92 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.Two trains, 130 m and 270 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?

Answer key

  1. 16
  2. 4
  3. 22
  4. 13
  5. 7
  6. 60
  7. 10
  8. 10
  9. 21
  10. 12
  11. 12
  12. 580
  13. 600
  14. 11
  15. 5
  16. 4
  17. 30
  18. 28
  19. 23
  20. 39
  21. 40
  22. 38
  23. 180
  24. 190
  25. 34
  26. 2
  27. 4
  28. 300
  29. 380
  30. 16
  31. 10
  32. 14
  33. 6
  34. 440
  35. 13
  36. 15
  37. 10
  38. 17
  39. 3
  40. 10

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