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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 872 · 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 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  2. 2.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  5. 5.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 26 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  7. 7.Two trains, 60 m and 90 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?
  8. 8.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 9 km upstream and come back?
  10. 10.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  11. 11.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  12. 12.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  13. 13.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  14. 14.A boat goes 16 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A boat goes 48 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 42 km upstream and come back?
  17. 17.Two trains, 100 m and 180 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?
  18. 18.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  19. 19.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  20. 20.A boat goes 30 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  22. 22.Two trains, 80 m and 160 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  23. 23.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  24. 24.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  25. 25.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  26. 26.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 90 km upstream and come back?
  27. 27.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  28. 28.A boat goes 110 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  30. 30.Two trains, 50 m and 100 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?
  31. 31.Two trains, 60 m and 220 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?
  32. 32.A boat goes at 17 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 84 km upstream and come back?
  33. 33.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  34. 34.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  35. 35.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  36. 36.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 72 km upstream and come back?
  37. 37.A boat goes 56 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 190 m and 55 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?
  40. 40.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 34
  2. 6
  3. 11
  4. 33
  5. 24
  6. 1
  7. 5
  8. 29
  9. 4
  10. 525
  11. 560
  12. 210
  13. 25
  14. 6
  15. 8
  16. 8
  17. 8
  18. 30
  19. 16
  20. 7
  21. 12
  22. 8
  23. 22
  24. 40
  25. 29
  26. 16
  27. 21
  28. 4
  29. 25
  30. 5
  31. 8
  32. 17
  33. 20
  34. 400
  35. 21
  36. 80
  37. 9
  38. 8
  39. 7
  40. 19

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