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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 526 · 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 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  2. 2.A boat goes 75 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A boat goes 105 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  4. 4.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  5. 5.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  6. 6.Two trains, 250 m and 50 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?
  7. 7.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  8. 8.A boat goes 30 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)?
  9. 9.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 35 km upstream and come back?
  10. 10.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  11. 11.A boat goes 44 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A boat goes 44 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  14. 14.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  16. 16.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  17. 17.Two trains, 90 m and 85 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?
  18. 18.Two trains, 210 m and 60 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?
  19. 19.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  20. 20.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  21. 21.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 90 km upstream and come back?
  22. 22.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  23. 23.Two trains, 120 m and 120 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?
  24. 24.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  27. 27.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  28. 28.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  29. 29.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  30. 30.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  31. 31.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 60 km upstream and come back?
  32. 32.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 115 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes 95 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  35. 35.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  36. 36.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  38. 38.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  39. 39.Two trains, 120 m and 240 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  40. 40.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?

Answer key

  1. 34
  2. 20
  3. 4
  4. 300
  5. 36
  6. 12
  7. 24
  8. 9
  9. 36
  10. 200
  11. 18
  12. 19
  13. 195
  14. 19
  15. 22
  16. 28
  17. 7
  18. 9
  19. 18
  20. 725
  21. 12
  22. 90
  23. 8
  24. 26
  25. 9
  26. 345
  27. 390
  28. 225
  29. 1
  30. 26
  31. 15
  32. 14
  33. 4
  34. 2
  35. 110
  36. 28
  37. 580
  38. 160
  39. 8
  40. 12

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