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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 429 · 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 at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  2. 2.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 200 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?
  4. 4.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  5. 5.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  6. 6.A boat goes 27 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  7. 7.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 88 km upstream and come back?
  8. 8.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 48 km upstream and come back?
  9. 9.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  11. 11.A boat goes at 20 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 64 km upstream and come back?
  12. 12.A boat goes 76 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  13. 13.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  14. 14.Two trains, 130 m and 70 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?
  15. 15.A boat goes 40 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  17. 17.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  19. 19.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  20. 20.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 100 km upstream and come back?
  21. 21.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  22. 22.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 81 km upstream and come back?
  23. 23.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  24. 24.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  25. 25.Two trains, 180 m and 270 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?
  26. 26.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  28. 28.A boat goes at 13 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 96 km upstream and come back?
  29. 29.A boat goes 26 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.Two trains, 160 m and 190 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?
  31. 31.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  32. 32.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  33. 33.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 50 km upstream and come back?
  34. 34.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  35. 35.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  37. 37.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  39. 39.Two trains, 60 m and 115 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?
  40. 40.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 13
  2. 17
  3. 11
  4. 14
  5. 22
  6. 3
  7. 26
  8. 28
  9. 26
  10. 40
  11. 10
  12. 5
  13. 22
  14. 5
  15. 18
  16. 19
  17. 28
  18. 675
  19. 70
  20. 55
  21. 260
  22. 36
  23. 190
  24. 14
  25. 10
  26. 10
  27. 13
  28. 52
  29. 12
  30. 10
  31. 32
  32. 16
  33. 12
  34. 280
  35. 9
  36. 435
  37. 24
  38. 19
  39. 7
  40. 7

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