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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 171 · 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 60 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 boat goes 22 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.A boat goes 110 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A boat goes 75 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)?
  5. 5.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 108 km upstream and come back?
  6. 6.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  7. 7.A boat goes 26 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  10. 10.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 81 km upstream and come back?
  11. 11.A boat goes 28 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  12. 12.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  13. 13.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?
  14. 14.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  15. 15.A boat goes at 16 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 78 km upstream and come back?
  16. 16.Two trains, 60 m and 100 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  17. 17.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  19. 19.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  20. 20.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  22. 22.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 230 m and 50 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?
  24. 24.A boat goes 115 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  25. 25.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 12 km upstream and come back?
  26. 26.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?
  27. 27.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  28. 28.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  29. 29.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  30. 30.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  32. 32.Two trains, 90 m and 180 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?
  33. 33.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  35. 35.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 33 km upstream and come back?
  36. 36.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 84 km upstream and come back?
  37. 37.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  38. 38.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  39. 39.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  40. 40.A boat goes 48 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 14
  2. 1
  3. 17
  4. 12
  5. 45
  6. 275
  7. 4
  8. 6
  9. 25
  10. 84
  11. 4
  12. 170
  13. 14
  14. 26
  15. 16
  16. 4
  17. 30
  18. 28
  19. 23
  20. 15
  21. 23
  22. 27
  23. 8
  24. 3
  25. 5
  26. 10
  27. 7
  28. 30
  29. 120
  30. 19
  31. 27
  32. 6
  33. 28
  34. 22
  35. 14
  36. 45
  37. 130
  38. 27
  39. 340
  40. 8

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