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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 581 · 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 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  2. 2.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 72 km upstream and come back?
  3. 3.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  4. 4.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  6. 6.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  7. 7.A boat goes 42 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  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.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  11. 11.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 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 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 25 km upstream and come back?
  15. 15.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  17. 17.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  18. 18.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  19. 19.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.Two trains, 70 m and 150 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?
  21. 21.Two trains, 50 m and 300 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  22. 22.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  23. 23.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  25. 25.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?
  26. 26.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  27. 27.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  28. 28.A boat goes 51 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)?
  29. 29.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  30. 30.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  31. 31.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 100 km upstream and come back?
  32. 32.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  33. 33.A boat goes 50 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 120 km upstream and come back?
  35. 35.Two trains, 60 m and 140 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?
  36. 36.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  37. 37.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)?
  38. 38.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)?
  39. 39.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  40. 40.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 10 km upstream and come back?

Answer key

  1. 200
  2. 20
  3. 33
  4. 18
  5. 50
  6. 150
  7. 2
  8. 17
  9. 26
  10. 330
  11. 26
  12. 460
  13. 19
  14. 6
  15. 20
  16. 21
  17. 320
  18. 210
  19. 8
  20. 11
  21. 10
  22. 120
  23. 26
  24. 25
  25. 22
  26. 475
  27. 280
  28. 16
  29. 44
  30. 37
  31. 60
  32. 250
  33. 3
  34. 64
  35. 10
  36. 42
  37. 18
  38. 2
  39. 35
  40. 6

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