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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 295 · 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 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 55 km upstream and come back?
  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 boat goes 80 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.Two trains, 130 m and 145 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?
  5. 5.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  7. 7.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 108 km upstream and come back?
  8. 8.A boat goes 32 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes 55 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.Two trains, 220 m and 140 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  12. 12.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  13. 13.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?
  14. 14.Two trains, 130 m and 350 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?
  15. 15.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  16. 16.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  17. 17.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  18. 18.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  19. 19.A boat goes 39 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 72 km upstream and come back?
  22. 22.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 102 km upstream and come back?
  23. 23.A boat goes 45 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes 56 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  25. 25.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  26. 26.A boat goes 32 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)?
  27. 27.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 48 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  29. 29.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  30. 30.A boat goes 42 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.Two trains, 190 m and 90 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  32. 32.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  33. 33.A boat goes 60 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  37. 37.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  39. 39.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  40. 40.A boat goes 26 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 60
  2. 6
  3. 11
  4. 11
  5. 12
  6. 35
  7. 120
  8. 5
  9. 15
  10. 8
  11. 12
  12. 28
  13. 5
  14. 12
  15. 120
  16. 315
  17. 200
  18. 400
  19. 9
  20. 9
  21. 38
  22. 40
  23. 4
  24. 3
  25. 150
  26. 14
  27. 20
  28. 5
  29. 450
  30. 19
  31. 7
  32. 420
  33. 13
  34. 24
  35. 7
  36. 31
  37. 19
  38. 450
  39. 21
  40. 9

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