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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 922 · 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 19 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 96 km upstream and come back?
  2. 2.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  4. 4.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  5. 5.A boat goes 80 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  6. 6.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 24 km upstream and come back?
  7. 7.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  8. 8.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 80 km upstream and come back?
  10. 10.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  11. 11.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  12. 12.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  14. 14.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  15. 15.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  16. 16.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 104 km upstream and come back?
  17. 17.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  18. 18.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  22. 22.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)?
  23. 23.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 54 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.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)?
  26. 26.Two trains, 130 m and 145 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?
  27. 27.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  28. 28.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 90 m and 85 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?
  30. 30.A boat goes at 20 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 111 km upstream and come back?
  31. 31.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  33. 33.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  34. 34.A boat goes 46 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  36. 36.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 11 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?
  38. 38.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 36 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)?
  40. 40.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 19
  2. 13
  3. 320
  4. 26
  5. 5
  6. 10
  7. 60
  8. 12
  9. 12
  10. 80
  11. 400
  12. 20
  13. 32
  14. 24
  15. 22
  16. 65
  17. 32
  18. 18
  19. 22
  20. 9
  21. 38
  22. 3
  23. 22
  24. 17
  25. 8
  26. 11
  27. 25
  28. 30
  29. 7
  30. 40
  31. 29
  32. 30
  33. 15
  34. 18
  35. 34
  36. 10
  37. 11
  38. 20
  39. 17
  40. 11

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