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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 169 · 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 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 28 km upstream and come back?
  2. 2.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  3. 3.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  4. 4.A boat goes at 20 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 38 km upstream and come back?
  5. 5.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  6. 6.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 108 km upstream and come back?
  7. 7.A boat goes at 15 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 108 km upstream and come back?
  8. 8.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 40 km upstream and come back?
  9. 9.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  10. 10.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 45 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 63 km upstream and come back?
  13. 13.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  14. 14.A boat goes 36 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  15. 15.Two trains, 70 m and 425 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 at 18 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 81 km upstream and come back?
  17. 17.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.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?
  20. 20.Two trains, 240 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?
  21. 21.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 140 m and 70 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?
  23. 23.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 45 km upstream and come back?
  24. 24.Two trains, 100 m and 110 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?
  25. 25.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  27. 27.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 65 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  30. 30.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 90 km upstream and come back?
  31. 31.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 120 km upstream and come back?
  32. 32.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  33. 33.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  34. 34.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?
  35. 35.Two trains, 140 m and 400 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?
  36. 36.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  37. 37.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)?
  38. 38.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  39. 39.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  40. 40.A boat goes at 12 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 63 km upstream and come back?

Answer key

  1. 15
  2. 175
  3. 23
  4. 20
  5. 110
  6. 30
  7. 40
  8. 9
  9. 100
  10. 17
  11. 2
  12. 66
  13. 21
  14. 4
  15. 11
  16. 12
  17. 19
  18. 5
  19. 18
  20. 11
  21. 19
  22. 6
  23. 18
  24. 6
  25. 10
  26. 130
  27. 23
  28. 11
  29. 3
  30. 36
  31. 24
  32. 500
  33. 39
  34. 5
  35. 12
  36. 28
  37. 14
  38. 23
  39. 34
  40. 24

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