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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 348 · 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 76 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  4. 4.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  6. 6.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  7. 7.A boat goes 51 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  8. 8.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  9. 9.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  10. 10.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  11. 11.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 32 km upstream and come back?
  13. 13.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)?
  14. 14.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  15. 15.Two trains, 180 m and 60 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?
  16. 16.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  17. 17.Two trains, 70 m and 260 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?
  18. 18.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  19. 19.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.Two trains, 80 m and 70 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?
  21. 21.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  22. 22.A boat goes at 16 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 87 km upstream and come back?
  23. 23.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 18 km upstream and come back?
  24. 24.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 110 km upstream and come back?
  25. 25.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  26. 26.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  28. 28.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  29. 29.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  31. 31.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes 18 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A boat goes 54 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A boat goes at 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  35. 35.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.Two trains, 60 m and 115 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?
  37. 37.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  39. 39.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?

Answer key

  1. 18
  2. 6
  3. 27
  4. 21
  5. 28
  6. 5
  7. 2
  8. 180
  9. 105
  10. 600
  11. 23
  12. 10
  13. 1
  14. 29
  15. 6
  16. 27
  17. 11
  18. 540
  19. 25
  20. 5
  21. 24
  22. 32
  23. 4
  24. 60
  25. 580
  26. 5
  27. 32
  28. 700
  29. 7
  30. 440
  31. 29
  32. 6
  33. 15
  34. 12
  35. 6
  36. 7
  37. 25
  38. 38
  39. 12
  40. 32

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