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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 150 · 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 running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  2. 2.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  3. 3.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  4. 4.A boat goes 80 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  7. 7.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  8. 8.Two trains, 100 m and 110 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?
  9. 9.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 96 km upstream and come back?
  10. 10.A boat goes 76 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  11. 11.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 33 km upstream and come back?
  12. 12.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.Two trains, 70 m and 290 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?
  14. 14.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  15. 15.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  16. 16.Two trains, 80 m and 235 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  17. 17.A boat goes 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  19. 19.Two trains, 100 m and 60 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?
  20. 20.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  21. 21.Two trains, 110 m and 390 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?
  22. 22.Two trains, 170 m and 310 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  23. 23.Two trains, 60 m and 435 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?
  24. 24.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  25. 25.Two trains, 90 m and 270 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  26. 26.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.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)?
  28. 28.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  29. 29.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes 42 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  31. 31.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?
  32. 32.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  33. 33.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  34. 34.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.Two trains, 80 m and 95 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?
  36. 36.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 34 km upstream and come back?
  37. 37.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  39. 39.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  40. 40.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 285
  2. 16
  3. 345
  4. 18
  5. 6
  6. 39
  7. 38
  8. 7
  9. 28
  10. 1
  11. 14
  12. 22
  13. 12
  14. 400
  15. 28
  16. 9
  17. 6
  18. 360
  19. 8
  20. 41
  21. 10
  22. 12
  23. 11
  24. 23
  25. 9
  26. 15
  27. 2
  28. 100
  29. 24
  30. 5
  31. 22
  32. 27
  33. 300
  34. 9
  35. 7
  36. 36
  37. 20
  38. 27
  39. 220
  40. 15

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