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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 445 · 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 running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  2. 2.A boat goes 30 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)?
  3. 3.A boat goes at 15 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 104 km upstream and come back?
  4. 4.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  6. 6.Two trains, 180 m and 180 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  7. 7.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?
  9. 9.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 114 km upstream and come back?
  11. 11.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  12. 12.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  13. 13.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  14. 14.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 120 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes 21 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)?
  17. 17.Two trains, 130 m and 95 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  18. 18.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  19. 19.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  20. 20.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  22. 22.A boat goes at 15 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 112 km upstream and come back?
  23. 23.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 117 km upstream and come back?
  24. 24.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes at 14 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 115 km upstream and come back?
  26. 26.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  27. 27.Two trains, 90 m and 85 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  28. 28.Two trains, 110 m and 250 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?
  29. 29.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  30. 30.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 190 m and 170 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 88 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  33. 33.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  34. 34.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 120 km upstream and come back?
  35. 35.Two trains, 150 m and 235 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  36. 36.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  37. 37.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 210 m and 90 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?
  39. 39.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)?
  40. 40.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?

Answer key

  1. 580
  2. 10
  3. 30
  4. 13
  5. 39
  6. 8
  7. 6
  8. 16
  9. 5
  10. 44
  11. 480
  12. 23
  13. 120
  14. 24
  15. 5
  16. 6
  17. 5
  18. 26
  19. 725
  20. 29
  21. 19
  22. 15
  23. 48
  24. 23
  25. 28
  26. 18
  27. 5
  28. 12
  29. 150
  30. 12
  31. 12
  32. 5
  33. 475
  34. 25
  35. 11
  36. 25
  37. 15
  38. 12
  39. 4
  40. 500

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