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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 39 · 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 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 88 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  5. 5.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  6. 6.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 11 km upstream and come back?
  9. 9.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes 90 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  11. 11.A boat goes 76 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  12. 12.Two trains, 80 m and 80 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 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?
  14. 14.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 120 km upstream and come back?
  15. 15.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  16. 16.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  17. 17.A boat goes 57 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 99 km upstream and come back?
  21. 21.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  22. 22.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  23. 23.A boat goes at 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 120 km upstream and come back?
  24. 24.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  25. 25.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  28. 28.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  29. 29.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  30. 30.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  32. 32.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  33. 33.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 44 km upstream and come back?
  34. 34.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  36. 36.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  37. 37.Two trains, 60 m and 100 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  38. 38.A boat goes 51 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.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 20 km upstream and come back?
  40. 40.Two trains, 90 m and 310 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?

Answer key

  1. 26
  2. 20
  3. 19
  4. 525
  5. 175
  6. 8
  7. 23
  8. 12
  9. 14
  10. 3
  11. 2
  12. 8
  13. 26
  14. 72
  15. 170
  16. 270
  17. 4
  18. 22
  19. 1
  20. 42
  21. 31
  22. 29
  23. 32
  24. 26
  25. 10
  26. 15
  27. 375
  28. 17
  29. 190
  30. 18
  31. 13
  32. 39
  33. 48
  34. 17
  35. 12
  36. 35
  37. 4
  38. 5
  39. 12
  40. 10

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