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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 72 · 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 running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  2. 2.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  3. 3.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 96 km upstream and come back?
  4. 4.A boat goes at 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  5. 5.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.Two trains, 100 m and 80 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?
  7. 7.Two trains, 200 m and 115 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  8. 8.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  9. 9.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  11. 11.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  13. 13.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 96 km upstream and come back?
  15. 15.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  16. 16.Two trains, 240 m and 120 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?
  17. 17.A boat goes 26 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A boat goes at 19 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 105 km upstream and come back?
  19. 19.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  20. 20.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  21. 21.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  23. 23.A boat goes 64 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 120 m and 230 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?
  26. 26.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 70 m and 230 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?
  28. 28.Two trains, 240 m and 120 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?
  29. 29.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes 44 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.Two trains, 90 m and 155 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  32. 32.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  33. 33.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
  34. 34.Two trains, 70 m and 90 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?
  35. 35.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  36. 36.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  37. 37.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  38. 38.A boat goes 76 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  40. 40.Two trains, 170 m and 55 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?

Answer key

  1. 90
  2. 32
  3. 36
  4. 14
  5. 24
  6. 4
  7. 9
  8. 28
  9. 170
  10. 50
  11. 21
  12. 35
  13. 18
  14. 32
  15. 15
  16. 8
  17. 10
  18. 38
  19. 180
  20. 27
  21. 15
  22. 35
  23. 4
  24. 29
  25. 10
  26. 16
  27. 12
  28. 9
  29. 10
  30. 2
  31. 7
  32. 480
  33. 24
  34. 4
  35. 425
  36. 18
  37. 14
  38. 14
  39. 18
  40. 9

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