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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 694 · 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 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 34 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  4. 4.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  5. 5.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 110 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.Two trains, 70 m and 80 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?
  8. 8.A boat goes 48 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A boat goes 30 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  11. 11.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 96 km upstream and come back?
  12. 12.Two trains, 80 m and 280 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?
  13. 13.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  14. 14.Two trains, 190 m and 170 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?
  15. 15.A boat goes 26 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)?
  16. 16.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  17. 17.A boat goes 84 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  19. 19.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  20. 20.Two trains, 90 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?
  21. 21.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  22. 22.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  24. 24.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 48 km upstream and come back?
  25. 25.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  26. 26.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  27. 27.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 11 km upstream and come back?
  28. 28.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 8 km upstream and come back?
  29. 29.Two trains, 120 m and 320 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?
  30. 30.Two trains, 90 m and 210 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?
  31. 31.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 15 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 112 km upstream and come back?
  34. 34.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 96 km upstream and come back?
  35. 35.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 15 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 108 km upstream and come back?
  38. 38.A boat goes 42 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  39. 39.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 18
  2. 3
  3. 240
  4. 30
  5. 11
  6. 20
  7. 5
  8. 10
  9. 3
  10. 24
  11. 14
  12. 12
  13. 560
  14. 12
  15. 9
  16. 20
  17. 2
  18. 24
  19. 18
  20. 5
  21. 32
  22. 16
  23. 225
  24. 30
  25. 31
  26. 250
  27. 12
  28. 5
  29. 11
  30. 12
  31. 23
  32. 29
  33. 15
  34. 20
  35. 11
  36. 10
  37. 15
  38. 3
  39. 7
  40. 13

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