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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 425 · 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.Two trains, 220 m and 95 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?
  2. 2.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?
  3. 3.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  4. 4.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  5. 5.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  6. 6.Two trains, 100 m and 170 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?
  7. 7.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  8. 8.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  9. 9.A boat goes 105 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  12. 12.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 34 km upstream and come back?
  13. 13.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 130 m and 50 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?
  15. 15.A boat goes 50 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  17. 17.A boat goes at 15 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 63 km upstream and come back?
  18. 18.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  20. 20.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  21. 21.Two trains, 70 m and 110 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?
  22. 22.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  23. 23.A boat goes 48 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  25. 25.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  26. 26.Two trains, 200 m and 295 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  27. 27.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  29. 29.A boat goes 51 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  31. 31.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 230 m and 130 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 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 8 km upstream and come back?
  34. 34.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes at 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 15 km upstream and come back?
  37. 37.Two trains, 150 m and 70 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?
  38. 38.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?

Answer key

  1. 9
  2. 26
  3. 420
  4. 23
  5. 480
  6. 6
  7. 260
  8. 195
  9. 5
  10. 6
  11. 25
  12. 36
  13. 16
  14. 9
  15. 6
  16. 380
  17. 10
  18. 27
  19. 29
  20. 24
  21. 9
  22. 25
  23. 11
  24. 170
  25. 300
  26. 11
  27. 26
  28. 270
  29. 14
  30. 35
  31. 5
  32. 12
  33. 5
  34. 16
  35. 19
  36. 4
  37. 11
  38. 6
  39. 13
  40. 8

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