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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 455 · 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 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 75 km upstream and come back?
  3. 3.A boat goes 60 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  4. 4.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 58 km upstream and come back?
  5. 5.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 20 km upstream and come back?
  7. 7.A boat goes 76 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  8. 8.Two trains, 100 m and 80 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?
  9. 9.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)?
  10. 10.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 105 km upstream and come back?
  11. 11.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  12. 12.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 12 km upstream and come back?
  13. 13.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  14. 14.A boat goes 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A boat goes 66 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 120 m and 240 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  18. 18.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  19. 19.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  20. 20.A boat goes at 13 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?
  21. 21.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  22. 22.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  23. 23.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  24. 24.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  25. 25.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 44 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  28. 28.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 114 km upstream and come back?
  29. 29.A boat goes 30 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  30. 30.A boat goes at 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 96 km upstream and come back?
  31. 31.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 90 km upstream and come back?
  32. 32.Two trains, 110 m and 250 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?
  33. 33.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  34. 34.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  36. 36.A boat goes 44 km downstream in 4 hours and 4 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A boat goes at 16 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 78 km upstream and come back?
  38. 38.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  40. 40.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 60 km upstream and come back?

Answer key

  1. 26
  2. 78
  3. 5
  4. 60
  5. 12
  6. 11
  7. 2
  8. 6
  9. 1
  10. 36
  11. 24
  12. 5
  13. 37
  14. 17
  15. 3
  16. 18
  17. 9
  18. 27
  19. 27
  20. 13
  21. 100
  22. 600
  23. 44
  24. 35
  25. 9
  26. 3
  27. 16
  28. 44
  29. 2
  30. 22
  31. 18
  32. 12
  33. 23
  34. 30
  35. 190
  36. 6
  37. 16
  38. 13
  39. 19
  40. 11

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