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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 962 · 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 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 120 km upstream and come back?
  2. 2.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.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 60 km upstream and come back?
  5. 5.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  6. 6.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  7. 7.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  8. 8.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 40 km upstream and come back?
  9. 9.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 16 km upstream and come back?
  10. 10.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  13. 13.A boat goes 44 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 90 km upstream and come back?
  15. 15.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  16. 16.Two trains, 60 m and 220 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  17. 17.Two trains, 150 m and 235 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?
  18. 18.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  19. 19.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  20. 20.A boat goes 42 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A boat goes 95 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 50 m and 250 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?
  24. 24.A boat goes 27 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  26. 26.A boat goes 42 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  28. 28.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 105 km upstream and come back?
  29. 29.Two trains, 120 m and 240 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?
  30. 30.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  32. 32.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)?
  33. 33.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  34. 34.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 100 m and 285 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?
  39. 39.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?

Answer key

  1. 42
  2. 16
  3. 29
  4. 16
  5. 30
  6. 25
  7. 42
  8. 9
  9. 5
  10. 28
  11. 30
  12. 170
  13. 3
  14. 50
  15. 29
  16. 7
  17. 11
  18. 320
  19. 14
  20. 19
  21. 3
  22. 26
  23. 12
  24. 3
  25. 21
  26. 3
  27. 18
  28. 36
  29. 12
  30. 26
  31. 13
  32. 4
  33. 22
  34. 4
  35. 14
  36. 16
  37. 10
  38. 11
  39. 22
  40. 23

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