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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 597 · 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 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  2. 2.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  4. 4.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 96 km upstream and come back?
  5. 5.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  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 60 km upstream and come back?
  7. 7.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  8. 8.A boat goes at 20 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 32 km upstream and come back?
  9. 9.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  10. 10.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?
  11. 11.A boat goes 56 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  13. 13.A boat goes at 16 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 110 km upstream and come back?
  14. 14.A boat goes 115 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  15. 15.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  16. 16.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 70 km upstream and come back?
  17. 17.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  18. 18.Two trains, 210 m and 140 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?
  19. 19.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  20. 20.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 75 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  22. 22.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  23. 23.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 100 km upstream and come back?
  24. 24.Two trains, 80 m and 235 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?
  25. 25.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  26. 26.Two trains, 100 m and 200 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?
  27. 27.A boat goes 60 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  28. 28.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 80 km upstream and come back?
  29. 29.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  31. 31.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  32. 32.A boat goes 96 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  33. 33.Two trains, 100 m and 75 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?
  34. 34.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  35. 35.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  36. 36.A boat goes 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  38. 38.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  40. 40.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?

Answer key

  1. 280
  2. 13
  3. 18
  4. 51
  5. 425
  6. 33
  7. 13
  8. 5
  9. 13
  10. 10
  11. 13
  12. 34
  13. 16
  14. 3
  15. 26
  16. 24
  17. 90
  18. 10
  19. 440
  20. 7
  21. 1
  22. 390
  23. 35
  24. 9
  25. 23
  26. 6
  27. 3
  28. 18
  29. 5
  30. 160
  31. 24
  32. 5
  33. 5
  34. 270
  35. 230
  36. 1
  37. 25
  38. 24
  39. 32
  40. 675

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