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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 728 · 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.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?
  2. 2.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  3. 3.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 105 km upstream and come back?
  4. 4.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  5. 5.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  6. 6.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)?
  7. 7.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes 36 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  10. 10.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?
  11. 11.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  13. 13.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 45 km upstream and come back?
  14. 14.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  15. 15.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  16. 16.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  17. 17.Two trains, 200 m and 50 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?
  18. 18.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  20. 20.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  21. 21.A boat goes 46 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)?
  22. 22.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 66 km upstream and come back?
  23. 23.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 30 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  25. 25.Two trains, 150 m and 290 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?
  26. 26.A boat goes 70 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  28. 28.A boat goes 45 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  30. 30.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  34. 34.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  35. 35.Two trains, 170 m and 105 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?
  36. 36.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  37. 37.A boat goes at 19 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 96 km upstream and come back?
  38. 38.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 36 km upstream and come back?
  39. 39.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 11
  2. 240
  3. 36
  4. 18
  5. 23
  6. 6
  7. 1
  8. 9
  9. 23
  10. 28
  11. 28
  12. 50
  13. 14
  14. 290
  15. 100
  16. 17
  17. 10
  18. 23
  19. 25
  20. 120
  21. 18
  22. 72
  23. 9
  24. 5
  25. 11
  26. 12
  27. 300
  28. 12
  29. 180
  30. 13
  31. 8
  32. 10
  33. 23
  34. 37
  35. 11
  36. 200
  37. 19
  38. 5
  39. 16
  40. 30

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