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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 81 · 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 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 16 km upstream and come back?
  2. 2.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 112 km upstream and come back?
  4. 4.A boat goes 76 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  5. 5.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  6. 6.Two trains, 250 m and 170 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?
  7. 7.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  8. 8.Two trains, 140 m and 310 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  9. 9.A boat goes 42 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  12. 12.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.Two trains, 60 m and 260 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  14. 14.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  15. 15.A boat goes 55 km downstream in 5 hours and 5 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  17. 17.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  18. 18.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 160 m and 155 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?
  20. 20.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  21. 21.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  22. 22.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  24. 24.A boat goes 27 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)?
  25. 25.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  26. 26.A boat goes at 15 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 112 km upstream and come back?
  27. 27.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  28. 28.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  30. 30.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  31. 31.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  32. 32.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  33. 33.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 36 km upstream and come back?
  35. 35.A boat goes 16 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  37. 37.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  38. 38.A boat goes 54 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  40. 40.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 10
  2. 6
  3. 21
  4. 5
  5. 500
  6. 12
  7. 20
  8. 10
  9. 2
  10. 18
  11. 21
  12. 9
  13. 8
  14. 285
  15. 5
  16. 22
  17. 27
  18. 19
  19. 9
  20. 600
  21. 300
  22. 27
  23. 30
  24. 7
  25. 27
  26. 15
  27. 22
  28. 29
  29. 225
  30. 32
  31. 475
  32. 300
  33. 12
  34. 10
  35. 7
  36. 140
  37. 28
  38. 4
  39. 26
  40. 27

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