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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 559 · 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 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  2. 2.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  4. 4.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 80 km upstream and come back?
  5. 5.Two trains, 200 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?
  6. 6.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  7. 7.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  9. 9.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 51 km upstream and come back?
  10. 10.Two trains, 140 m and 60 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?
  11. 11.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes 39 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  13. 13.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  14. 14.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 80 km upstream and come back?
  15. 15.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.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 22 km upstream and come back?
  17. 17.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  18. 18.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  19. 19.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  20. 20.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 80 km upstream and come back?
  21. 21.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  22. 22.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  23. 23.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  24. 24.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.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 96 km upstream and come back?
  26. 26.Two trains, 70 m and 170 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?
  27. 27.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  28. 28.A boat goes 110 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  30. 30.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  31. 31.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 80 m and 370 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?
  33. 33.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  34. 34.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 88 km upstream and come back?
  35. 35.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?
  36. 36.Two trains, 190 m and 140 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?
  37. 37.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  38. 38.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  40. 40.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 72 km upstream and come back?

Answer key

  1. 15
  2. 28
  3. 315
  4. 48
  5. 10
  6. 33
  7. 25
  8. 100
  9. 20
  10. 8
  11. 11
  12. 2
  13. 20
  14. 18
  15. 19
  16. 24
  17. 34
  18. 13
  19. 28
  20. 50
  21. 32
  22. 270
  23. 435
  24. 27
  25. 40
  26. 12
  27. 22
  28. 17
  29. 27
  30. 280
  31. 24
  32. 9
  33. 36
  34. 55
  35. 28
  36. 11
  37. 625
  38. 24
  39. 22
  40. 15

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