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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 601 · 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 7 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?
  2. 2.A boat goes 92 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 69 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  5. 5.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  6. 6.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 21 km upstream and come back?
  7. 7.A boat goes 48 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A boat goes 88 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes 30 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  11. 11.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  12. 12.Two trains, 100 m and 220 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  13. 13.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  14. 14.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  15. 15.Two trains, 140 m and 175 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?
  16. 16.A boat goes 40 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  17. 17.A boat goes 22 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.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?
  19. 19.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  20. 20.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 70 km upstream and come back?
  21. 21.A boat goes 40 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  22. 22.Two trains, 50 m and 265 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?
  23. 23.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  25. 25.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 95 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.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?
  28. 28.A boat goes 64 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  30. 30.Two trains, 90 m and 85 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  31. 31.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  32. 32.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 34 km upstream and come back?
  33. 33.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  34. 34.Two trains, 60 m and 165 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?
  35. 35.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  36. 36.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  37. 37.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes at 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 108 km upstream and come back?
  39. 39.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?

Answer key

  1. 35
  2. 20
  3. 16
  4. 3
  5. 28
  6. 10
  7. 9
  8. 2
  9. 29
  10. 1
  11. 25
  12. 8
  13. 18
  14. 450
  15. 7
  16. 3
  17. 3
  18. 76
  19. 150
  20. 24
  21. 2
  22. 9
  23. 11
  24. 25
  25. 7
  26. 14
  27. 18
  28. 1
  29. 13
  30. 5
  31. 22
  32. 36
  33. 31
  34. 9
  35. 315
  36. 27
  37. 18
  38. 112
  39. 12
  40. 320

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