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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 67 · 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 36 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  3. 3.A boat goes 42 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  4. 4.Two trains, 190 m and 230 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?
  5. 5.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.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?
  7. 7.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  9. 9.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.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 105 km upstream and come back?
  11. 11.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 80 km upstream and come back?
  13. 13.Two trains, 80 m and 280 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  14. 14.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?
  15. 15.Two trains, 70 m and 250 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?
  16. 16.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  17. 17.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  18. 18.A boat goes 65 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  19. 19.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  20. 20.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 48 km upstream and come back?
  21. 21.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 112 km upstream and come back?
  22. 22.A boat goes 88 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.Two trains, 60 m and 140 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?
  24. 24.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  25. 25.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  26. 26.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  27. 27.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  28. 28.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  30. 30.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  31. 31.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.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)?
  33. 33.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  34. 34.Two trains, 180 m and 90 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?
  35. 35.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  36. 36.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  37. 37.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  38. 38.Two trains, 170 m and 145 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  39. 39.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?

Answer key

  1. 11
  2. 42
  3. 4
  4. 12
  5. 17
  6. 55
  7. 25
  8. 26
  9. 11
  10. 36
  11. 5
  12. 18
  13. 12
  14. 48
  15. 8
  16. 14
  17. 150
  18. 2
  19. 20
  20. 14
  21. 21
  22. 18
  23. 8
  24. 31
  25. 28
  26. 23
  27. 20
  28. 24
  29. 280
  30. 350
  31. 5
  32. 3
  33. 2
  34. 9
  35. 27
  36. 23
  37. 28
  38. 9
  39. 4
  40. 230

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