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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 217 · 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 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  3. 3.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  4. 4.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  5. 5.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 27 km upstream and come back?
  6. 6.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  7. 7.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  9. 9.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  10. 10.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.Two trains, 220 m and 180 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  13. 13.A boat goes at 20 km/h in still water. The river flows at 19 km/h. How many hours does the boat take to go 78 km upstream and come back?
  14. 14.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 75 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  17. 17.A boat goes 44 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  20. 20.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  21. 21.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 36 km upstream and come back?
  22. 22.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  23. 23.A boat goes 69 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  25. 25.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 31 km upstream and come back?
  26. 26.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  28. 28.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  30. 30.Two trains, 200 m and 80 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?
  31. 31.Two trains, 180 m and 100 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?
  32. 32.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  33. 33.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?
  34. 34.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 120 km upstream and come back?
  35. 35.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  36. 36.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  37. 37.A boat goes at 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  38. 38.A boat goes 42 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  39. 39.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  40. 40.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 1
  2. 35
  3. 180
  4. 340
  5. 10
  6. 250
  7. 12
  8. 390
  9. 17
  10. 15
  11. 5
  12. 8
  13. 80
  14. 10
  15. 1
  16. 27
  17. 4
  18. 6
  19. 270
  20. 290
  21. 10
  22. 30
  23. 3
  24. 34
  25. 32
  26. 15
  27. 180
  28. 16
  29. 40
  30. 8
  31. 7
  32. 17
  33. 20
  34. 15
  35. 575
  36. 26
  37. 10
  38. 4
  39. 220
  40. 15

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