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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 900 · 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 76 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  4. 4.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)?
  5. 5.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  6. 6.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  7. 7.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  9. 9.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  10. 10.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  11. 11.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?
  12. 12.Two trains, 100 m and 80 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?
  13. 13.Two trains, 90 m and 85 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?
  14. 14.A boat goes 26 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A boat goes 45 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  18. 18.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 90 km upstream and come back?
  20. 20.A boat goes 85 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.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)?
  23. 23.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  24. 24.Two trains, 180 m and 120 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?
  25. 25.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  26. 26.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  27. 27.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  28. 28.A boat goes 38 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  29. 29.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  30. 30.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  31. 31.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  32. 32.A boat goes 63 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes 92 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  35. 35.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  36. 36.A boat goes 48 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.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?
  38. 38.Two trains, 130 m and 80 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?
  39. 39.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  40. 40.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?

Answer key

  1. 2
  2. 19
  3. 21
  4. 4
  5. 31
  6. 5
  7. 7
  8. 700
  9. 150
  10. 27
  11. 16
  12. 9
  13. 5
  14. 12
  15. 12
  16. 8
  17. 17
  18. 25
  19. 50
  20. 16
  21. 10
  22. 4
  23. 25
  24. 12
  25. 220
  26. 22
  27. 21
  28. 2
  29. 75
  30. 110
  31. 23
  32. 4
  33. 11
  34. 3
  35. 580
  36. 12
  37. 13
  38. 6
  39. 460
  40. 650

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