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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 237 · 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 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  2. 2.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  3. 3.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  5. 5.A boat goes 34 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  7. 7.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 10 km upstream and come back?
  8. 8.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  9. 9.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 70 m and 210 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  11. 11.A boat goes at 20 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 35 km upstream and come back?
  12. 12.A boat goes 45 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  13. 13.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  14. 14.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  15. 15.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes 46 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  19. 19.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  20. 20.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 90 m and 410 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?
  22. 22.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  24. 24.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  25. 25.Two trains, 80 m and 360 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?
  26. 26.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  27. 27.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  29. 29.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  30. 30.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  31. 31.A boat goes 60 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)?
  32. 32.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  33. 33.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 119 km upstream and come back?
  34. 34.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  35. 35.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  36. 36.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  37. 37.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  38. 38.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 56 km upstream and come back?
  39. 39.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 84 km upstream and come back?

Answer key

  1. 15
  2. 460
  3. 27
  4. 33
  5. 5
  6. 150
  7. 6
  8. 30
  9. 16
  10. 7
  11. 8
  12. 1
  13. 40
  14. 180
  15. 14
  16. 9
  17. 17
  18. 3
  19. 38
  20. 6
  21. 10
  22. 5
  23. 125
  24. 100
  25. 11
  26. 75
  27. 7
  28. 30
  29. 14
  30. 26
  31. 11
  32. 43
  33. 126
  34. 37
  35. 15
  36. 150
  37. 90
  38. 30
  39. 10
  40. 16

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