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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 609 · 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 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 24 km upstream and come back?
  2. 2.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.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?
  4. 4.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  5. 5.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  6. 6.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 72 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)?
  10. 10.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  11. 11.A boat goes 80 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  14. 14.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  15. 15.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?
  16. 16.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 210 m and 105 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?
  18. 18.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 30 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.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 60 km upstream and come back?
  21. 21.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  22. 22.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 70 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  27. 27.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  30. 30.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  31. 31.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  32. 32.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  33. 33.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  34. 34.Two trains, 130 m and 50 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?
  35. 35.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  36. 36.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)?
  37. 37.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 60 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.A boat goes 39 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 15
  2. 8
  3. 36
  4. 175
  5. 15
  6. 19
  7. 30
  8. 20
  9. 20
  10. 120
  11. 5
  12. 15
  13. 320
  14. 650
  15. 18
  16. 24
  17. 9
  18. 16
  19. 4
  20. 16
  21. 390
  22. 7
  23. 23
  24. 5
  25. 17
  26. 180
  27. 30
  28. 13
  29. 150
  30. 24
  31. 225
  32. 22
  33. 125
  34. 4
  35. 120
  36. 4
  37. 30
  38. 5
  39. 3
  40. 12

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