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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 374 · 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 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?
  2. 2.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  4. 4.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 90 km upstream and come back?
  5. 5.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  6. 6.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 120 km upstream and come back?
  7. 7.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  8. 8.A boat goes 92 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  10. 10.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 160 m and 60 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  12. 12.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 35 km upstream and come back?
  13. 13.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  15. 15.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  16. 16.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  18. 18.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  19. 19.Two trains, 60 m and 140 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?
  20. 20.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 200 m and 50 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?
  22. 22.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  23. 23.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 90 km upstream and come back?
  24. 24.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes at 19 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 120 km upstream and come back?
  26. 26.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  27. 27.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 20 km upstream and come back?
  28. 28.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  30. 30.A boat goes at 16 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 93 km upstream and come back?
  31. 31.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes 38 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)?
  33. 33.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 105 km upstream and come back?
  34. 34.A boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A boat goes 63 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.Two trains, 210 m and 230 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?
  37. 37.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  38. 38.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  40. 40.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 30
  2. 29
  3. 135
  4. 96
  5. 16
  6. 25
  7. 22
  8. 3
  9. 28
  10. 14
  11. 11
  12. 12
  13. 5
  14. 270
  15. 30
  16. 20
  17. 285
  18. 120
  19. 5
  20. 28
  21. 10
  22. 12
  23. 28
  24. 22
  25. 19
  26. 12
  27. 7
  28. 15
  29. 20
  30. 96
  31. 15
  32. 16
  33. 42
  34. 5
  35. 19
  36. 11
  37. 26
  38. 7
  39. 10
  40. 8

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