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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 914 · 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 27 seconds. How long is the train (in metres)?
  2. 2.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  3. 3.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 100 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  5. 5.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 60 km upstream and come back?
  6. 6.A boat goes 55 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  8. 8.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 38 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 running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  11. 11.Two trains, 90 m and 330 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?
  12. 12.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 105 km upstream and come back?
  13. 13.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  14. 14.Two trains, 130 m and 200 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?
  15. 15.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.Two trains, 220 m and 200 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?
  17. 17.A boat goes 72 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  20. 20.A boat goes at 17 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 32 km upstream and come back?
  21. 21.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  22. 22.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?
  23. 23.A boat goes at 15 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 88 km upstream and come back?
  24. 24.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  25. 25.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  26. 26.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?
  27. 27.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  28. 28.Two trains, 220 m and 95 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?
  29. 29.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  30. 30.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  31. 31.A boat goes 60 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  33. 33.Two trains, 150 m and 390 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?
  34. 34.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  35. 35.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  36. 36.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 75 km upstream and come back?
  37. 37.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  38. 38.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  39. 39.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 48 km upstream and come back?
  40. 40.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?

Answer key

  1. 675
  2. 12
  3. 18
  4. 5
  5. 64
  6. 8
  7. 25
  8. 30
  9. 1
  10. 375
  11. 12
  12. 50
  13. 14
  14. 11
  15. 8
  16. 12
  17. 5
  18. 18
  19. 32
  20. 17
  21. 38
  22. 15
  23. 15
  24. 130
  25. 17
  26. 18
  27. 24
  28. 9
  29. 13
  30. 260
  31. 10
  32. 21
  33. 12
  34. 21
  35. 38
  36. 80
  37. 210
  38. 260
  39. 20
  40. 400

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