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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 344 · 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 38 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.Two trains, 60 m and 300 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  3. 3.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  4. 4.Two trains, 80 m and 95 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?
  5. 5.Two trains, 60 m and 120 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?
  6. 6.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  7. 7.Two trains, 120 m and 195 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?
  8. 8.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  10. 10.Two trains, 150 m and 210 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?
  11. 11.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  12. 12.Two trains, 200 m and 200 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?
  13. 13.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  14. 14.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A boat goes 68 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  17. 17.A boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  20. 20.Two trains, 140 m and 265 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?
  21. 21.A boat goes 95 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  23. 23.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 120 km upstream and come back?
  24. 24.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 60 km upstream and come back?
  25. 25.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  26. 26.A boat goes at 13 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 120 km upstream and come back?
  27. 27.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  28. 28.A boat goes 52 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.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 88 km upstream and come back?
  31. 31.A boat goes at 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 26 km upstream and come back?
  32. 32.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  33. 33.A boat goes 63 km downstream in 3 hours and 57 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  35. 35.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 91 km upstream and come back?
  36. 36.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  37. 37.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  38. 38.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  39. 39.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 17
  2. 9
  3. 575
  4. 7
  5. 6
  6. 325
  7. 7
  8. 28
  9. 30
  10. 12
  11. 22
  12. 10
  13. 210
  14. 7
  15. 4
  16. 26
  17. 17
  18. 13
  19. 20
  20. 9
  21. 16
  22. 14
  23. 32
  24. 13
  25. 18
  26. 65
  27. 540
  28. 2
  29. 26
  30. 55
  31. 14
  32. 14
  33. 1
  34. 18
  35. 98
  36. 23
  37. 160
  38. 190
  39. 1
  40. 21

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