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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 760 · 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 19 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 105 km upstream and come back?
  2. 2.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 38 km upstream and come back?
  3. 3.Two trains, 120 m and 320 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?
  4. 4.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  5. 5.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  6. 6.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  7. 7.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  8. 8.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  9. 9.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes 24 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.Two trains, 70 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?
  12. 12.A boat goes 36 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  13. 13.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  14. 14.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  17. 17.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  21. 21.Two trains, 190 m and 125 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  22. 22.A boat goes 48 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.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 70 km upstream and come back?
  24. 24.A boat goes 65 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.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?
  27. 27.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  28. 28.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  29. 29.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  30. 30.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  33. 33.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  34. 34.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  36. 36.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  37. 37.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  38. 38.A boat goes 42 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  40. 40.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?

Answer key

  1. 38
  2. 40
  3. 11
  4. 20
  5. 36
  6. 31
  7. 290
  8. 24
  9. 30
  10. 8
  11. 5
  12. 3
  13. 135
  14. 19
  15. 18
  16. 14
  17. 2
  18. 15
  19. 24
  20. 240
  21. 9
  22. 19
  23. 24
  24. 11
  25. 23
  26. 10
  27. 450
  28. 14
  29. 18
  30. 3
  31. 16
  32. 750
  33. 19
  34. 1
  35. 275
  36. 725
  37. 260
  38. 12
  39. 700
  40. 25

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