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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 985 · 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 48 km upstream and come back?
  2. 2.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  3. 3.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  4. 4.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  6. 6.Two trains, 100 m and 285 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?
  7. 7.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  8. 8.Two trains, 120 m and 265 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?
  9. 9.A boat goes 22 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 60 km upstream and come back?
  12. 12.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 72 km upstream and come back?
  13. 13.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  14. 14.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  15. 15.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  16. 16.Two trains, 150 m and 290 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  17. 17.Two trains, 230 m and 130 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  18. 18.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  21. 21.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  22. 22.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes 92 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes 54 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A boat goes at 20 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 111 km upstream and come back?
  26. 26.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 45 km upstream and come back?
  27. 27.A boat goes 55 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  28. 28.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?
  29. 29.A boat goes at 8 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?
  30. 30.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  31. 31.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  32. 32.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.Two trains, 80 m and 235 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?
  34. 34.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  35. 35.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  36. 36.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?
  37. 37.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 81 km upstream and come back?
  38. 38.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  39. 39.A boat goes at 15 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 63 km upstream and come back?
  40. 40.Two trains, 100 m and 140 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?

Answer key

  1. 14
  2. 24
  3. 22
  4. 30
  5. 75
  6. 11
  7. 30
  8. 11
  9. 10
  10. 12
  11. 20
  12. 24
  13. 360
  14. 8
  15. 560
  16. 11
  17. 12
  18. 29
  19. 11
  20. 29
  21. 170
  22. 7
  23. 4
  24. 17
  25. 40
  26. 8
  27. 2
  28. 14
  29. 24
  30. 12
  31. 650
  32. 5
  33. 7
  34. 17
  35. 520
  36. 7
  37. 36
  38. 30
  39. 10
  40. 6

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