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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 65 · 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 boat goes 75 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  3. 3.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  4. 4.Two trains, 140 m and 160 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?
  5. 5.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  6. 6.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  7. 7.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  8. 8.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  9. 9.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  11. 11.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  13. 13.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  14. 14.Two trains, 200 m and 80 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  15. 15.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  16. 16.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  18. 18.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  19. 19.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?
  20. 20.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 84 km upstream and come back?
  21. 21.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 63 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 100 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  25. 25.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 22 km upstream and come back?
  26. 26.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?
  27. 27.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  28. 28.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.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?
  30. 30.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  31. 31.A boat goes 95 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.Two trains, 50 m and 225 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  33. 33.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  34. 34.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  35. 35.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  36. 36.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 76 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 48 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 2
  2. 37
  3. 32
  4. 6
  5. 33
  6. 90
  7. 32
  8. 255
  9. 19
  10. 14
  11. 26
  12. 22
  13. 230
  14. 7
  15. 16
  16. 16
  17. 190
  18. 28
  19. 36
  20. 40
  21. 21
  22. 2
  23. 11
  24. 5
  25. 24
  26. 13
  27. 29
  28. 30
  29. 30
  30. 150
  31. 17
  32. 11
  33. 30
  34. 23
  35. 31
  36. 6
  37. 5
  38. 9
  39. 6
  40. 9

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