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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 32 · 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 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes at 16 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 87 km upstream and come back?
  4. 4.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  5. 5.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  6. 6.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 60 km upstream and come back?
  7. 7.A boat goes 120 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 56 km upstream and come back?
  10. 10.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  12. 12.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  15. 15.Two trains, 100 m and 170 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?
  16. 16.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  18. 18.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes at 15 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 88 km upstream and come back?
  20. 20.Two trains, 80 m and 220 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?
  21. 21.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  22. 22.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  23. 23.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  24. 24.A boat goes 32 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.Two trains, 130 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?
  26. 26.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 48 km upstream and come back?
  27. 27.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  28. 28.Two trains, 70 m and 380 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  29. 29.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  30. 30.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  31. 31.A boat goes at 20 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 102 km upstream and come back?
  32. 32.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  33. 33.A boat goes 26 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)?
  34. 34.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  35. 35.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 30 km upstream and come back?
  36. 36.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.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 78 km upstream and come back?
  38. 38.A boat goes 60 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  40. 40.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?

Answer key

  1. 15
  2. 12
  3. 32
  4. 450
  5. 150
  6. 16
  7. 19
  8. 21
  9. 32
  10. 30
  11. 30
  12. 5
  13. 22
  14. 21
  15. 9
  16. 14
  17. 30
  18. 24
  19. 15
  20. 12
  21. 80
  22. 35
  23. 255
  24. 13
  25. 11
  26. 14
  27. 13
  28. 10
  29. 36
  30. 31
  31. 20
  32. 31
  33. 8
  34. 440
  35. 32
  36. 29
  37. 32
  38. 2
  39. 32
  40. 27

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