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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 535 · 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 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  2. 2.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  3. 3.A boat goes at 20 km/h in still water. The river flows at 19 km/h. How many hours does the boat take to go 117 km upstream and come back?
  4. 4.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  7. 7.A boat goes 66 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.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?
  9. 9.Two trains, 210 m and 140 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?
  10. 10.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  11. 11.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  12. 12.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.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?
  14. 14.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 24 km upstream and come back?
  15. 15.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 112 km upstream and come back?
  17. 17.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  19. 19.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  21. 21.A boat goes at 16 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 120 km upstream and come back?
  22. 22.Two trains, 120 m and 80 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?
  23. 23.Two trains, 70 m and 210 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?
  24. 24.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 100 m and 450 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?
  27. 27.Two trains, 190 m and 50 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?
  28. 28.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  29. 29.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 12 km upstream and come back?
  30. 30.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  31. 31.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 24 km upstream and come back?
  32. 32.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  33. 33.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  34. 34.A boat goes 42 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A boat goes 56 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  37. 37.A boat goes 125 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  38. 38.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  39. 39.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  40. 40.A boat goes 72 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)?

Answer key

  1. 36
  2. 2
  3. 120
  4. 11
  5. 20
  6. 50
  7. 20
  8. 18
  9. 10
  10. 23
  11. 320
  12. 26
  13. 16
  14. 14
  15. 30
  16. 22
  17. 4
  18. 650
  19. 19
  20. 80
  21. 20
  22. 8
  23. 7
  24. 17
  25. 6
  26. 11
  27. 8
  28. 35
  29. 7
  30. 220
  31. 9
  32. 25
  33. 22
  34. 3
  35. 4
  36. 23
  37. 5
  38. 9
  39. 15
  40. 16

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