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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 219 · 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 15 seconds. How long is the train (in metres)?
  2. 2.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.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?
  4. 4.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  5. 5.Two trains, 60 m and 115 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?
  6. 6.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 23 km upstream and come back?
  7. 7.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  8. 8.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 60 km upstream and come back?
  9. 9.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  10. 10.A boat goes 52 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  11. 11.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 63 km upstream and come back?
  12. 12.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  13. 13.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  14. 14.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  15. 15.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 40 km upstream and come back?
  16. 16.A boat goes 38 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  18. 18.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 22 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  22. 22.Two trains, 50 m and 160 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?
  23. 23.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  24. 24.Two trains, 170 m and 280 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?
  25. 25.Two trains, 180 m and 90 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?
  26. 26.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 100 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  30. 30.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 130 m and 170 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  32. 32.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  34. 34.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  35. 35.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  36. 36.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  38. 38.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  39. 39.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.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 84 km upstream and come back?

Answer key

  1. 375
  2. 13
  3. 16
  4. 100
  5. 5
  6. 24
  7. 375
  8. 36
  9. 25
  10. 3
  11. 30
  12. 28
  13. 600
  14. 23
  15. 22
  16. 16
  17. 31
  18. 27
  19. 8
  20. 20
  21. 40
  22. 7
  23. 200
  24. 10
  25. 6
  26. 12
  27. 11
  28. 5
  29. 22
  30. 29
  31. 12
  32. 13
  33. 34
  34. 195
  35. 22
  36. 21
  37. 30
  38. 325
  39. 12
  40. 35

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