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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 395 · 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 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?
  2. 2.Two trains, 90 m and 90 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?
  3. 3.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes at 17 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 120 km upstream and come back?
  5. 5.Two trains, 140 m and 130 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?
  6. 6.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  7. 7.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  8. 8.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 100 km upstream and come back?
  9. 9.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  10. 10.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  11. 11.Two trains, 220 m and 95 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?
  12. 12.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  13. 13.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  14. 14.A boat goes at 16 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 87 km upstream and come back?
  15. 15.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 112 km upstream and come back?
  16. 16.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  17. 17.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  19. 19.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  21. 21.Two trains, 100 m and 100 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?
  22. 22.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes 18 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)?
  24. 24.Two trains, 150 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?
  25. 25.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  26. 26.A boat goes 28 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.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?
  28. 28.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  29. 29.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  30. 30.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  31. 31.Two trains, 50 m and 370 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?
  32. 32.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  33. 33.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 117 km upstream and come back?
  34. 34.A boat goes 100 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)?
  35. 35.Two trains, 160 m and 140 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  36. 36.A boat goes 60 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  38. 38.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  40. 40.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 42
  2. 9
  3. 5
  4. 34
  5. 9
  6. 230
  7. 18
  8. 30
  9. 31
  10. 31
  11. 9
  12. 26
  13. 28
  14. 32
  15. 22
  16. 34
  17. 26
  18. 31
  19. 7
  20. 210
  21. 10
  22. 19
  23. 7
  24. 8
  25. 17
  26. 10
  27. 35
  28. 25
  29. 110
  30. 21
  31. 12
  32. 40
  33. 130
  34. 15
  35. 6
  36. 7
  37. 30
  38. 14
  39. 180
  40. 13

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