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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 459 · 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 36 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  4. 4.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.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 120 km upstream and come back?
  6. 6.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  7. 7.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  8. 8.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  9. 9.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes 80 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  12. 12.Two trains, 220 m and 80 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  13. 13.A boat goes 16 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  15. 15.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 30 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  19. 19.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  21. 21.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  23. 23.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  24. 24.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  25. 25.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  26. 26.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 66 km upstream and come back?
  27. 27.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?
  28. 28.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  29. 29.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?
  30. 30.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  32. 32.Two trains, 220 m and 130 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?
  33. 33.Two trains, 80 m and 60 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?
  34. 34.A boat goes 50 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  35. 35.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 12 km upstream and come back?
  36. 36.A boat goes 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  37. 37.A boat goes 40 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  39. 39.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  40. 40.Two trains, 190 m and 410 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?

Answer key

  1. 5
  2. 6
  3. 27
  4. 11
  5. 27
  6. 475
  7. 200
  8. 140
  9. 12
  10. 15
  11. 220
  12. 10
  13. 2
  14. 12
  15. 20
  16. 3
  17. 7
  18. 35
  19. 29
  20. 37
  21. 23
  22. 29
  23. 180
  24. 24
  25. 150
  26. 72
  27. 13
  28. 22
  29. 16
  30. 20
  31. 27
  32. 10
  33. 7
  34. 4
  35. 5
  36. 1
  37. 19
  38. 160
  39. 100
  40. 12

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