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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 430 · 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 12 seconds. How long is the train (in metres)?
  2. 2.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?
  3. 3.A boat goes at 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  4. 4.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 72 km upstream and come back?
  5. 5.Two trains, 140 m and 210 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?
  6. 6.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 96 km upstream and come back?
  7. 7.A boat goes 18 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  9. 9.A boat goes 42 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  10. 10.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 57 km upstream and come back?
  11. 11.Two trains, 120 m and 300 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?
  12. 12.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  13. 13.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  15. 15.Two trains, 90 m and 90 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?
  16. 16.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  17. 17.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 42 km upstream and come back?
  18. 18.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  19. 19.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  20. 20.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.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)?
  23. 23.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.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 68 km upstream and come back?
  25. 25.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 130 m and 230 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  27. 27.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 230 m and 120 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?
  29. 29.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  32. 32.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  33. 33.A boat goes 70 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 63 km upstream and come back?
  35. 35.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  37. 37.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  38. 38.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  40. 40.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?

Answer key

  1. 180
  2. 30
  3. 14
  4. 80
  5. 10
  6. 32
  7. 6
  8. 27
  9. 2
  10. 60
  11. 12
  12. 36
  13. 16
  14. 240
  15. 9
  16. 550
  17. 20
  18. 200
  19. 500
  20. 11
  21. 25
  22. 3
  23. 18
  24. 72
  25. 24
  26. 12
  27. 24
  28. 10
  29. 29
  30. 17
  31. 725
  32. 31
  33. 5
  34. 12
  35. 23
  36. 16
  37. 170
  38. 12
  39. 21
  40. 240

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