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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 21 · 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 32 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  3. 3.Two trains, 60 m and 240 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?
  4. 4.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  5. 5.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 112 km upstream and come back?
  7. 7.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 40 km upstream and come back?
  8. 8.A boat goes 88 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 26 km upstream and come back?
  10. 10.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  11. 11.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  15. 15.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  16. 16.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  17. 17.A boat goes at 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  18. 18.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.Two trains, 180 m and 205 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?
  22. 22.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 40 km upstream and come back?
  23. 23.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  24. 24.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  26. 26.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 30 km upstream and come back?
  27. 27.Two trains, 80 m and 220 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?
  28. 28.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  31. 31.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 35 km upstream and come back?
  32. 32.A boat goes 26 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)?
  33. 33.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  36. 36.Two trains, 170 m and 370 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?
  37. 37.Two trains, 60 m and 190 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?
  38. 38.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  39. 39.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  40. 40.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?

Answer key

  1. 2
  2. 30
  3. 6
  4. 24
  5. 20
  6. 64
  7. 14
  8. 18
  9. 28
  10. 20
  11. 12
  12. 24
  13. 13
  14. 22
  15. 360
  16. 19
  17. 10
  18. 17
  19. 7
  20. 8
  21. 11
  22. 9
  23. 28
  24. 1
  25. 28
  26. 6
  27. 10
  28. 22
  29. 18
  30. 40
  31. 12
  32. 9
  33. 20
  34. 9
  35. 350
  36. 12
  37. 5
  38. 450
  39. 30
  40. 440

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