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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 934 · 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 at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 90 km upstream and come back?
  2. 2.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  3. 3.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  4. 4.Two trains, 130 m and 150 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?
  5. 5.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.Two trains, 110 m and 65 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?
  7. 7.A boat goes 54 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A boat goes 30 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)?
  9. 9.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  11. 11.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)?
  12. 12.A boat goes at 8 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?
  13. 13.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  14. 14.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?
  15. 15.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  16. 16.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  17. 17.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 18 km upstream and come back?
  18. 18.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  19. 19.A boat goes 88 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  20. 20.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  21. 21.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  22. 22.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 72 km upstream and come back?
  23. 23.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  24. 24.Two trains, 200 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?
  25. 25.A boat goes 36 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 90 km upstream and come back?
  27. 27.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  28. 28.A boat goes 64 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  30. 30.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 44 km upstream and come back?
  31. 31.Two trains, 120 m and 240 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?
  32. 32.A boat goes 60 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  33. 33.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 36 km upstream and come back?
  34. 34.Two trains, 170 m and 190 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?
  35. 35.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes 75 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  38. 38.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 48
  2. 240
  3. 28
  4. 8
  5. 17
  6. 5
  7. 14
  8. 14
  9. 29
  10. 250
  11. 1
  12. 40
  13. 110
  14. 5
  15. 29
  16. 32
  17. 8
  18. 190
  19. 5
  20. 380
  21. 525
  22. 40
  23. 21
  24. 10
  25. 15
  26. 16
  27. 420
  28. 5
  29. 19
  30. 13
  31. 12
  32. 3
  33. 11
  34. 12
  35. 28
  36. 1
  37. 28
  38. 15
  39. 20
  40. 16

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