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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 614 · 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 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  3. 3.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  4. 4.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  5. 5.A boat goes 88 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  6. 6.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 72 km upstream and come back?
  7. 7.A boat goes 70 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 99 km upstream and come back?
  9. 9.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  10. 10.A boat goes 32 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  11. 11.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  13. 13.Two trains, 170 m and 430 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?
  14. 14.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  15. 15.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  16. 16.A boat goes 36 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.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 108 km upstream and come back?
  18. 18.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  19. 19.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  20. 20.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?
  21. 21.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  22. 22.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  23. 23.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes 36 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  25. 25.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?
  26. 26.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  27. 27.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  28. 28.Two trains, 250 m and 50 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?
  29. 29.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 48 km upstream and come back?
  30. 30.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  31. 31.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  33. 33.A boat goes 50 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  35. 35.Two trains, 100 m and 320 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  36. 36.A boat goes at 16 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 120 km upstream and come back?
  37. 37.Two trains, 150 m and 50 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?
  38. 38.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  40. 40.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 7
  2. 15
  3. 450
  4. 37
  5. 5
  6. 30
  7. 11
  8. 108
  9. 12
  10. 2
  11. 7
  12. 1
  13. 12
  14. 28
  15. 140
  16. 11
  17. 36
  18. 25
  19. 440
  20. 22
  21. 165
  22. 27
  23. 4
  24. 2
  25. 16
  26. 580
  27. 290
  28. 10
  29. 16
  30. 500
  31. 22
  32. 700
  33. 6
  34. 26
  35. 12
  36. 16
  37. 8
  38. 22
  39. 22
  40. 22

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