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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 414 · 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 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  2. 2.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  3. 3.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  4. 4.Two trains, 90 m and 60 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  5. 5.Two trains, 90 m and 210 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  6. 6.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  7. 7.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  8. 8.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  9. 9.Two trains, 220 m and 80 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  10. 10.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 34 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  12. 12.Two trains, 240 m and 300 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?
  13. 13.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  14. 14.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  15. 15.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  16. 16.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  17. 17.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  18. 18.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  19. 19.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  21. 21.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  22. 22.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 63 km upstream and come back?
  23. 23.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  24. 24.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  25. 25.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  26. 26.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 56 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  29. 29.Two trains, 90 m and 240 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  30. 30.Two trains, 130 m and 50 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  31. 31.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  32. 32.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  33. 33.Two trains, 150 m and 90 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  34. 34.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  35. 35.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  36. 36.A boat goes 60 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  37. 37.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  38. 38.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  39. 39.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  40. 40.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 60 km upstream and come back?

Answer key

  1. 420
  2. 220
  3. 23
  4. 5
  5. 10
  6. 20
  7. 18
  8. 32
  9. 10
  10. 7
  11. 1
  12. 12
  13. 150
  14. 380
  15. 23
  16. 39
  17. 34
  18. 100
  19. 16
  20. 360
  21. 1
  22. 70
  23. 240
  24. 36
  25. 32
  26. 28
  27. 26
  28. 5
  29. 11
  30. 6
  31. 17
  32. 21
  33. 8
  34. 12
  35. 13
  36. 1
  37. 250
  38. 225
  39. 40
  40. 9

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