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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 88 · 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, 70 m and 80 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?
  2. 2.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 88 km upstream and come back?
  3. 3.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 42 km upstream and come back?
  4. 4.A boat goes 48 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  6. 6.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 22 km upstream and come back?
  7. 7.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  8. 8.Two trains, 140 m and 280 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  9. 9.A boat goes at 17 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 33 km upstream and come back?
  10. 10.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  12. 12.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  13. 13.Two trains, 230 m and 120 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?
  14. 14.A boat goes 75 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  15. 15.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  16. 16.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  17. 17.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  18. 18.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  20. 20.Two trains, 60 m and 140 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?
  21. 21.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  22. 22.A boat goes at 15 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 36 km upstream and come back?
  23. 23.A boat goes 48 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  26. 26.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  28. 28.Two trains, 170 m and 160 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?
  29. 29.Two trains, 190 m and 80 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?
  30. 30.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  32. 32.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  33. 33.A boat goes 120 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  35. 35.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  36. 36.Two trains, 50 m and 230 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  37. 37.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 90 km upstream and come back?
  38. 38.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  39. 39.A boat goes at 15 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 63 km upstream and come back?
  40. 40.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 100 km upstream and come back?

Answer key

  1. 5
  2. 96
  3. 44
  4. 11
  5. 120
  6. 12
  7. 360
  8. 12
  9. 34
  10. 6
  11. 200
  12. 20
  13. 7
  14. 1
  15. 30
  16. 90
  17. 19
  18. 24
  19. 375
  20. 10
  21. 250
  22. 5
  23. 1
  24. 13
  25. 450
  26. 22
  27. 390
  28. 11
  29. 9
  30. 20
  31. 250
  32. 225
  33. 20
  34. 16
  35. 23
  36. 8
  37. 24
  38. 75
  39. 10
  40. 60

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