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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 959 · 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 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  2. 2.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?
  3. 3.Two trains, 60 m and 180 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?
  4. 4.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  8. 8.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  9. 9.A boat goes 85 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.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?
  13. 13.A boat goes 70 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)?
  14. 14.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  15. 15.A boat goes 40 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes at 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 96 km upstream and come back?
  17. 17.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  18. 18.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  20. 20.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  22. 22.Two trains, 170 m and 190 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?
  23. 23.Two trains, 100 m and 100 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?
  24. 24.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  25. 25.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?
  26. 26.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  27. 27.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes 100 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  33. 33.A boat goes 48 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  36. 36.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 63 km upstream and come back?
  37. 37.A boat goes 45 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  39. 39.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  40. 40.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)?

Answer key

  1. 26
  2. 22
  3. 8
  4. 6
  5. 12
  6. 21
  7. 345
  8. 16
  9. 15
  10. 10
  11. 23
  12. 20
  13. 10
  14. 23
  15. 3
  16. 10
  17. 130
  18. 24
  19. 50
  20. 10
  21. 38
  22. 8
  23. 8
  24. 39
  25. 50
  26. 700
  27. 8
  28. 15
  29. 29
  30. 5
  31. 28
  32. 70
  33. 1
  34. 11
  35. 100
  36. 30
  37. 2
  38. 25
  39. 14
  40. 4

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