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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 944 · 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 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 60 m and 160 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?
  5. 5.Two trains, 210 m and 90 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?
  6. 6.A boat goes at 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  7. 7.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 112 km upstream and come back?
  8. 8.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  9. 9.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes 60 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)?
  11. 11.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  12. 12.Two trains, 110 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?
  13. 13.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 56 km upstream and come back?
  14. 14.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 85 km upstream and come back?
  15. 15.Two trains, 110 m and 430 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  16. 16.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  17. 17.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  18. 18.A boat goes 75 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  19. 19.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  20. 20.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  21. 21.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  22. 22.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  23. 23.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  24. 24.Two trains, 50 m and 110 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?
  25. 25.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 220 m and 95 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?
  27. 27.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  28. 28.A train 150 m long runs at 54 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 16 seconds. How long is the train (in metres)?
  30. 30.A boat goes 85 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  31. 31.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  32. 32.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  33. 33.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 120 km upstream and come back?
  35. 35.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  37. 37.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  38. 38.A boat goes 48 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  40. 40.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 112 km upstream and come back?

Answer key

  1. 11
  2. 18
  3. 10
  4. 11
  5. 12
  6. 10
  7. 36
  8. 13
  9. 11
  10. 9
  11. 26
  12. 8
  13. 18
  14. 90
  15. 12
  16. 250
  17. 520
  18. 3
  19. 280
  20. 32
  21. 16
  22. 280
  23. 30
  24. 8
  25. 12
  26. 9
  27. 220
  28. 10
  29. 240
  30. 1
  31. 650
  32. 21
  33. 19
  34. 25
  35. 22
  36. 540
  37. 375
  38. 5
  39. 20
  40. 22

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