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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 626 · 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.Two trains, 100 m and 75 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?
  2. 2.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?
  3. 3.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)?
  4. 4.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  7. 7.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  9. 9.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 44 km upstream and come back?
  10. 10.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  11. 11.A boat goes 36 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes 76 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  13. 13.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  14. 14.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  15. 15.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  16. 16.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?
  18. 18.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.A boat goes 36 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  21. 21.A boat goes 45 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 28 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  28. 28.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?
  29. 29.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  30. 30.Two trains, 90 m and 295 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?
  31. 31.A boat goes at 15 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 63 km upstream and come back?
  32. 32.Two trains, 200 m and 115 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?
  33. 33.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes 105 km downstream in 5 hours and 95 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  36. 36.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  38. 38.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  39. 39.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 5
  2. 30
  3. 14
  4. 7
  5. 3
  6. 270
  7. 28
  8. 225
  9. 13
  10. 560
  11. 2
  12. 4
  13. 260
  14. 27
  15. 12
  16. 8
  17. 34
  18. 25
  19. 3
  20. 4
  21. 1
  22. 18
  23. 6
  24. 5
  25. 21
  26. 3
  27. 43
  28. 16
  29. 70
  30. 11
  31. 10
  32. 9
  33. 18
  34. 20
  35. 41
  36. 21
  37. 500
  38. 15
  39. 7
  40. 28

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