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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 462 · 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 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  2. 2.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 80 km upstream and come back?
  3. 3.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  4. 4.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  6. 6.A boat goes 50 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes 76 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  10. 10.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.Two trains, 170 m and 130 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  13. 13.A boat goes at 15 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 52 km upstream and come back?
  14. 14.Two trains, 220 m and 140 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?
  15. 15.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 48 km upstream and come back?
  16. 16.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  17. 17.A boat goes 34 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?
  19. 19.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 57 km upstream and come back?
  20. 20.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.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?
  23. 23.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?
  24. 24.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  25. 25.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 60 m and 220 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  27. 27.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  28. 28.Two trains, 210 m and 90 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  29. 29.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  32. 32.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  33. 33.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  34. 34.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  35. 35.Two trains, 100 m and 145 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?
  36. 36.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  37. 37.Two trains, 200 m and 100 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 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  39. 39.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  40. 40.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?

Answer key

  1. 29
  2. 18
  3. 25
  4. 10
  5. 200
  6. 8
  7. 18
  8. 17
  9. 13
  10. 29
  11. 8
  12. 12
  13. 15
  14. 12
  15. 27
  16. 160
  17. 2
  18. 16
  19. 22
  20. 8
  21. 22
  22. 12
  23. 16
  24. 500
  25. 19
  26. 8
  27. 22
  28. 12
  29. 10
  30. 5
  31. 15
  32. 290
  33. 31
  34. 27
  35. 7
  36. 38
  37. 6
  38. 110
  39. 375
  40. 435

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