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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 63 · 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 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  2. 2.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  3. 3.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 51 km upstream and come back?
  4. 4.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?
  5. 5.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.Two trains, 220 m and 95 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.A boat goes 72 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 60 km upstream and come back?
  9. 9.A boat goes at 16 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 78 km upstream and come back?
  10. 10.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  11. 11.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  13. 13.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 110 m and 190 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 train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  16. 16.A boat goes 32 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  18. 18.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  19. 19.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  20. 20.A boat goes 40 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A boat goes at 19 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?
  22. 22.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  23. 23.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.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 36 km upstream and come back?
  25. 25.Two trains, 60 m and 60 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  26. 26.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  27. 27.Two trains, 250 m and 80 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?
  28. 28.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 9 km upstream and come back?
  29. 29.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes 55 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  31. 31.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 21 km upstream and come back?
  32. 32.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 21 km upstream and come back?
  33. 33.A boat goes 32 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  35. 35.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.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 64 km upstream and come back?
  37. 37.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 66 km upstream and come back?
  38. 38.Two trains, 150 m and 150 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  39. 39.A boat goes 38 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  40. 40.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?

Answer key

  1. 36
  2. 32
  3. 20
  4. 24
  5. 19
  6. 7
  7. 15
  8. 35
  9. 16
  10. 25
  11. 8
  12. 170
  13. 11
  14. 10
  15. 200
  16. 6
  17. 110
  18. 11
  19. 40
  20. 18
  21. 19
  22. 175
  23. 19
  24. 12
  25. 6
  26. 33
  27. 11
  28. 10
  29. 23
  30. 4
  31. 10
  32. 4
  33. 4
  34. 29
  35. 17
  36. 40
  37. 28
  38. 10
  39. 1
  40. 140

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