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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 22 · 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 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  2. 2.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  3. 3.A boat goes 36 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.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 104 km upstream and come back?
  5. 5.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 33 km upstream and come back?
  7. 7.A boat goes 65 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes 33 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  9. 9.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)?
  10. 10.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  12. 12.A boat goes 65 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  14. 14.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  15. 15.A boat goes 72 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  16. 16.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)?
  17. 17.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  19. 19.Two trains, 150 m and 75 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  20. 20.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  21. 21.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  22. 22.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  23. 23.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 36 km upstream and come back?
  24. 24.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  25. 25.Two trains, 100 m and 340 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?
  26. 26.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes 70 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 32 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A boat goes 24 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  31. 31.A boat goes 30 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  32. 32.A boat goes at 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  33. 33.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  34. 34.A boat goes 44 km downstream in 4 hours and 4 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  36. 36.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  37. 37.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  38. 38.Two trains, 140 m and 80 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?
  39. 39.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  40. 40.A boat goes 84 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 36
  2. 35
  3. 6
  4. 30
  5. 20
  6. 14
  7. 5
  8. 4
  9. 17
  10. 28
  11. 400
  12. 11
  13. 260
  14. 340
  15. 1
  16. 4
  17. 5
  18. 41
  19. 9
  20. 22
  21. 25
  22. 345
  23. 15
  24. 20
  25. 11
  26. 25
  27. 12
  28. 28
  29. 7
  30. 1
  31. 1
  32. 12
  33. 120
  34. 5
  35. 33
  36. 4
  37. 180
  38. 11
  39. 24
  40. 4

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