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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 263 · 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 train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  2. 2.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  4. 4.A boat goes 36 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  5. 5.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  6. 6.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  7. 7.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  8. 8.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 45 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A boat goes at 15 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 52 km upstream and come back?
  11. 11.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  12. 12.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  13. 13.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  14. 14.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  16. 16.A boat goes 52 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  18. 18.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  20. 20.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  23. 23.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  24. 24.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  25. 25.A boat goes 65 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes 54 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 50 m and 50 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?
  32. 32.A boat goes 75 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.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 60 km upstream and come back?
  35. 35.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  36. 36.A boat goes 48 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.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)?
  38. 38.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?

Answer key

  1. 725
  2. 9
  3. 22
  4. 1
  5. 11
  6. 400
  7. 600
  8. 16
  9. 14
  10. 15
  11. 190
  12. 16
  13. 33
  14. 26
  15. 26
  16. 12
  17. 30
  18. 19
  19. 32
  20. 18
  21. 20
  22. 520
  23. 275
  24. 650
  25. 1
  26. 22
  27. 4
  28. 20
  29. 17
  30. 8
  31. 5
  32. 4
  33. 5
  34. 21
  35. 600
  36. 11
  37. 1
  38. 30
  39. 30
  40. 13

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