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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 545 · 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 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  2. 2.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  3. 3.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  4. 4.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  5. 5.A boat goes 42 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  8. 8.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  11. 11.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 42 km upstream and come back?
  12. 12.A boat goes at 17 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  13. 13.Two trains, 50 m and 70 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?
  14. 14.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  15. 15.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 60 km upstream and come back?
  16. 16.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  17. 17.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  19. 19.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  20. 20.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?
  21. 21.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  23. 23.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  24. 24.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?
  25. 25.A boat goes 72 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.Two trains, 210 m and 230 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?
  27. 27.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  28. 28.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  29. 29.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  30. 30.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 46 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  33. 33.Two trains, 80 m and 160 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?
  34. 34.Two trains, 190 m and 215 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?
  35. 35.Two trains, 230 m and 100 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?
  36. 36.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  37. 37.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  38. 38.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 20 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 16
  2. 600
  3. 32
  4. 33
  5. 2
  6. 20
  7. 40
  8. 6
  9. 16
  10. 44
  11. 24
  12. 17
  13. 4
  14. 500
  15. 25
  16. 12
  17. 28
  18. 42
  19. 60
  20. 48
  21. 18
  22. 15
  23. 13
  24. 34
  25. 16
  26. 11
  27. 120
  28. 23
  29. 330
  30. 5
  31. 5
  32. 27
  33. 6
  34. 9
  35. 11
  36. 21
  37. 200
  38. 11
  39. 23
  40. 2

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