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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 926 · 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, 90 m and 295 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?
  2. 2.A boat goes at 20 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 111 km upstream and come back?
  3. 3.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  4. 4.Two trains, 50 m and 100 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?
  5. 5.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  6. 6.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 33 km upstream and come back?
  7. 7.Two trains, 130 m and 185 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?
  8. 8.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 110 m and 310 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?
  10. 10.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 65 km upstream and come back?
  11. 11.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  12. 12.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 60 km upstream and come back?
  13. 13.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  14. 14.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  16. 16.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  17. 17.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  19. 19.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  20. 20.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  21. 21.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  22. 22.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?
  23. 23.A boat goes at 19 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 111 km upstream and come back?
  24. 24.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 90 km upstream and come back?
  25. 25.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 80 km upstream and come back?
  26. 26.A boat goes 42 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.A boat goes 28 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  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 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  30. 30.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  31. 31.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  33. 33.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  34. 34.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  35. 35.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.Two trains, 60 m and 290 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?
  37. 37.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  38. 38.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  39. 39.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 11
  2. 40
  3. 15
  4. 5
  5. 36
  6. 36
  7. 9
  8. 14
  9. 12
  10. 70
  11. 26
  12. 16
  13. 400
  14. 30
  15. 190
  16. 32
  17. 7
  18. 17
  19. 38
  20. 10
  21. 405
  22. 30
  23. 114
  24. 16
  25. 44
  26. 4
  27. 1
  28. 25
  29. 32
  30. 195
  31. 13
  32. 13
  33. 240
  34. 25
  35. 24
  36. 10
  37. 90
  38. 27
  39. 7
  40. 15

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