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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 842 · 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 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  5. 5.A boat goes 76 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  7. 7.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  8. 8.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  9. 9.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  10. 10.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?
  11. 11.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  12. 12.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  13. 13.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  14. 14.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 90 m and 120 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?
  16. 16.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  17. 17.Two trains, 80 m and 60 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?
  18. 18.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.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)?
  20. 20.A boat goes at 12 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 84 km upstream and come back?
  21. 21.A boat goes 42 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  22. 22.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 70 km upstream and come back?
  23. 23.A boat goes 72 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.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?
  25. 25.A boat goes 72 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  26. 26.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes 55 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 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 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  31. 31.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  32. 32.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  33. 33.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  34. 34.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A boat goes 68 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  38. 38.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  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 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?

Answer key

  1. 27
  2. 11
  3. 8
  4. 22
  5. 3
  6. 30
  7. 300
  8. 160
  9. 22
  10. 20
  11. 435
  12. 5
  13. 37
  14. 6
  15. 6
  16. 20
  17. 4
  18. 8
  19. 12
  20. 32
  21. 5
  22. 72
  23. 4
  24. 18
  25. 5
  26. 8
  27. 7
  28. 1
  29. 75
  30. 575
  31. 240
  32. 14
  33. 345
  34. 13
  35. 14
  36. 22
  37. 33
  38. 16
  39. 375
  40. 34

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