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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 126 · 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 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  2. 2.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  3. 3.A boat goes at 6 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?
  4. 4.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 57 km upstream and come back?
  5. 5.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  6. 6.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  7. 7.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)?
  8. 8.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  9. 9.Two trains, 220 m and 230 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  10. 10.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 108 km upstream and come back?
  11. 11.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  12. 12.Two trains, 210 m and 120 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?
  13. 13.Two trains, 150 m and 90 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  14. 14.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  15. 15.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  18. 18.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 70 m and 80 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?
  20. 20.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  21. 21.A boat goes 57 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)?
  22. 22.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  23. 23.A boat goes at 20 km/h in still water. The river flows at 19 km/h. How many hours does the boat take to go 117 km upstream and come back?
  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 119 km upstream and come back?
  25. 25.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  26. 26.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  27. 27.Two trains, 100 m and 140 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?
  28. 28.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  29. 29.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  30. 30.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 56 km upstream and come back?
  31. 31.A boat goes 26 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  33. 33.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 120 km upstream and come back?
  35. 35.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  36. 36.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  38. 38.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 12 km upstream and come back?
  39. 39.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  40. 40.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 650
  2. 250
  3. 18
  4. 22
  5. 27
  6. 16
  7. 9
  8. 27
  9. 9
  10. 45
  11. 24
  12. 11
  13. 6
  14. 16
  15. 27
  16. 25
  17. 29
  18. 18
  19. 6
  20. 390
  21. 17
  22. 20
  23. 120
  24. 126
  25. 40
  26. 19
  27. 8
  28. 24
  29. 25
  30. 35
  31. 3
  32. 200
  33. 15
  34. 32
  35. 460
  36. 24
  37. 29
  38. 5
  39. 23
  40. 17

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