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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 589 · 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, 60 m and 325 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?
  2. 2.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.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)?
  4. 4.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?
  5. 5.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?
  6. 6.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  7. 7.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  8. 8.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  9. 9.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.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?
  12. 12.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  13. 13.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  14. 14.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 60 km upstream and come back?
  15. 15.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)?
  16. 16.Two trains, 190 m and 170 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?
  17. 17.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  18. 18.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 80 m and 360 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?
  20. 20.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  21. 21.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 108 km upstream and come back?
  22. 22.A boat goes 42 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)?
  23. 23.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 40 km upstream and come back?
  24. 24.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 8 km upstream and come back?
  25. 25.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 24 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  27. 27.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 90 km upstream and come back?
  28. 28.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  29. 29.Two trains, 90 m and 310 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?
  30. 30.Two trains, 160 m and 50 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?
  31. 31.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 81 km upstream and come back?
  32. 32.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 119 km upstream and come back?
  35. 35.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  37. 37.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  38. 38.A boat goes 45 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?

Answer key

  1. 11
  2. 11
  3. 9
  4. 19
  5. 15
  6. 14
  7. 285
  8. 26
  9. 11
  10. 11
  11. 11
  12. 24
  13. 28
  14. 15
  15. 15
  16. 9
  17. 31
  18. 6
  19. 11
  20. 32
  21. 45
  22. 10
  23. 24
  24. 5
  25. 21
  26. 2
  27. 12
  28. 22
  29. 10
  30. 6
  31. 90
  32. 18
  33. 10
  34. 126
  35. 26
  36. 20
  37. 250
  38. 11
  39. 20
  40. 44

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