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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 332 · 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 boat goes 48 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  4. 4.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  5. 5.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  6. 6.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  7. 7.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  8. 8.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  10. 10.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 130 m and 145 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?
  12. 12.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes 22 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.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 99 km upstream and come back?
  15. 15.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  16. 16.Two trains, 190 m and 60 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?
  17. 17.A boat goes at 15 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 72 km upstream and come back?
  18. 18.Two trains, 130 m and 150 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  19. 19.A boat goes 42 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  20. 20.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 110 m and 130 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?
  23. 23.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 100 km upstream and come back?
  24. 24.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  25. 25.Two trains, 120 m and 80 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?
  26. 26.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  27. 27.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  28. 28.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  29. 29.Two trains, 110 m and 115 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?
  30. 30.A boat goes 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  32. 32.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  34. 34.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  35. 35.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  36. 36.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  37. 37.A boat goes at 13 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?
  38. 38.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  39. 39.A boat goes 54 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  40. 40.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?

Answer key

  1. 10
  2. 9
  3. 31
  4. 34
  5. 22
  6. 27
  7. 11
  8. 23
  9. 26
  10. 10
  11. 11
  12. 29
  13. 2
  14. 102
  15. 105
  16. 10
  17. 10
  18. 8
  19. 2
  20. 1
  21. 27
  22. 12
  23. 35
  24. 42
  25. 8
  26. 16
  27. 240
  28. 240
  29. 5
  30. 1
  31. 27
  32. 15
  33. 210
  34. 22
  35. 25
  36. 160
  37. 13
  38. 21
  39. 2
  40. 135

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