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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 574 · 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 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  2. 2.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  3. 3.A boat goes at 18 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 32 km upstream and come back?
  4. 4.A boat goes 80 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)?
  5. 5.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  6. 6.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  8. 8.Two trains, 180 m and 140 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?
  9. 9.A boat goes 55 km downstream in 5 hours and 5 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.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 99 km upstream and come back?
  11. 11.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 24 km upstream and come back?
  12. 12.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  13. 13.A boat goes 32 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes 42 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 57 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.Two trains, 60 m and 150 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?
  22. 22.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  24. 24.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.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?
  26. 26.A boat goes at 15 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 81 km upstream and come back?
  27. 27.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  31. 31.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A boat goes 45 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.Two trains, 200 m and 115 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  34. 34.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  35. 35.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 42 km upstream and come back?
  37. 37.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 22
  2. 24
  3. 9
  4. 17
  5. 600
  6. 17
  7. 300
  8. 8
  9. 6
  10. 102
  11. 10
  12. 180
  13. 2
  14. 10
  15. 7
  16. 18
  17. 5
  18. 29
  19. 6
  20. 14
  21. 7
  22. 25
  23. 520
  24. 22
  25. 5
  26. 30
  27. 26
  28. 30
  29. 14
  30. 40
  31. 18
  32. 8
  33. 9
  34. 15
  35. 17
  36. 10
  37. 23
  38. 13
  39. 7
  40. 28

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