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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 648 · 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 boat goes 68 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  3. 3.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 84 km upstream and come back?
  4. 4.Two trains, 100 m and 320 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  5. 5.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  6. 6.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  7. 7.A boat goes 63 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  8. 8.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  9. 9.A boat goes 80 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 56 km upstream and come back?
  11. 11.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  12. 12.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  13. 13.Two trains, 50 m and 75 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?
  14. 14.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  15. 15.A boat goes at 19 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 74 km upstream and come back?
  16. 16.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  17. 17.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 117 km upstream and come back?
  18. 18.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  19. 19.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.Two trains, 80 m and 460 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  21. 21.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  22. 22.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  23. 23.Two trains, 80 m and 160 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?
  24. 24.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  25. 25.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 60 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  28. 28.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  29. 29.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  31. 31.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  32. 32.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  33. 33.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  35. 35.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  36. 36.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  37. 37.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  40. 40.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?

Answer key

  1. 15
  2. 150
  3. 88
  4. 12
  5. 28
  6. 14
  7. 3
  8. 250
  9. 11
  10. 18
  11. 35
  12. 75
  13. 5
  14. 18
  15. 76
  16. 33
  17. 48
  18. 60
  19. 30
  20. 12
  21. 36
  22. 24
  23. 8
  24. 255
  25. 17
  26. 1
  27. 22
  28. 130
  29. 8
  30. 28
  31. 18
  32. 12
  33. 20
  34. 27
  35. 21
  36. 32
  37. 13
  38. 30
  39. 18
  40. 19

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