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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 152 · 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 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  3. 3.Two trains, 250 m and 110 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?
  4. 4.Two trains, 50 m and 150 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?
  5. 5.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  7. 7.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  10. 10.Two trains, 110 m and 100 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?
  11. 11.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 24 km upstream and come back?
  12. 12.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  15. 15.A boat goes 55 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A boat goes 50 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A boat goes 64 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  18. 18.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  19. 19.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.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 12 km upstream and come back?
  21. 21.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 48 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  24. 24.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  25. 25.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  26. 26.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  27. 27.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  29. 29.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 108 km upstream and come back?
  30. 30.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 105 km upstream and come back?
  31. 31.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  32. 32.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 17 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 60 km upstream and come back?
  34. 34.Two trains, 90 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?
  35. 35.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  36. 36.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  37. 37.A boat goes at 17 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 33 km upstream and come back?
  38. 38.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?
  39. 39.A boat goes 84 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 13
  2. 20
  3. 12
  4. 5
  5. 21
  6. 330
  7. 28
  8. 12
  9. 60
  10. 7
  11. 5
  12. 23
  13. 19
  14. 32
  15. 7
  16. 20
  17. 4
  18. 200
  19. 24
  20. 5
  21. 22
  22. 4
  23. 30
  24. 17
  25. 33
  26. 285
  27. 10
  28. 27
  29. 63
  30. 50
  31. 240
  32. 15
  33. 17
  34. 10
  35. 380
  36. 14
  37. 34
  38. 13
  39. 3
  40. 21

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