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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 603 · 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, 210 m and 60 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?
  2. 2.A boat goes at 17 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 84 km upstream and come back?
  3. 3.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 42 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  7. 7.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  8. 8.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 72 km upstream and come back?
  9. 9.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 60 km upstream and come back?
  10. 10.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  12. 12.Two trains, 50 m and 75 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?
  13. 13.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  14. 14.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  17. 17.A boat goes 92 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  19. 19.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 72 km upstream and come back?
  20. 20.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 105 km upstream and come back?
  22. 22.A boat goes 85 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  23. 23.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  24. 24.A boat goes 75 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  25. 25.Two trains, 90 m and 150 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 running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  27. 27.A boat goes 105 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 90 km upstream and come back?
  31. 31.A boat goes 68 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  33. 33.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  34. 34.Two trains, 50 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?
  35. 35.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  36. 36.A boat goes 42 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  38. 38.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 114 km upstream and come back?
  39. 39.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  40. 40.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?

Answer key

  1. 9
  2. 17
  3. 13
  4. 13
  5. 18
  6. 29
  7. 29
  8. 21
  9. 9
  10. 23
  11. 1
  12. 5
  13. 460
  14. 24
  15. 6
  16. 140
  17. 5
  18. 17
  19. 40
  20. 22
  21. 36
  22. 5
  23. 120
  24. 5
  25. 6
  26. 625
  27. 5
  28. 27
  29. 7
  30. 48
  31. 13
  32. 125
  33. 33
  34. 9
  35. 27
  36. 16
  37. 7
  38. 120
  39. 24
  40. 110

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