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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 25 · 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 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  2. 2.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  4. 4.Two trains, 210 m and 90 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?
  5. 5.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  6. 6.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)?
  7. 7.A boat goes 54 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  11. 11.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  12. 12.Two trains, 210 m and 240 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?
  13. 13.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  15. 15.A boat goes at 7 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?
  16. 16.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  17. 17.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  19. 19.A boat goes 110 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.Two trains, 60 m and 380 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  21. 21.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 40 km upstream and come back?
  22. 22.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  24. 24.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 36 km upstream and come back?
  25. 25.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  26. 26.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  27. 27.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 48 km upstream and come back?
  28. 28.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  30. 30.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  31. 31.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  32. 32.Two trains, 100 m and 80 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?
  33. 33.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.Two trains, 80 m and 270 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?
  35. 35.A boat goes 51 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  37. 37.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  38. 38.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 105 km upstream and come back?
  39. 39.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 63 km upstream and come back?
  40. 40.Two trains, 240 m and 165 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?

Answer key

  1. 28
  2. 25
  3. 31
  4. 10
  5. 27
  6. 17
  7. 15
  8. 7
  9. 23
  10. 135
  11. 375
  12. 10
  13. 9
  14. 28
  15. 56
  16. 13
  17. 15
  18. 70
  19. 19
  20. 11
  21. 15
  22. 28
  23. 220
  24. 16
  25. 29
  26. 225
  27. 6
  28. 10
  29. 30
  30. 20
  31. 540
  32. 4
  33. 5
  34. 10
  35. 15
  36. 41
  37. 200
  38. 112
  39. 30
  40. 9

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