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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 702 · 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 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 63 km upstream and come back?
  2. 2.A boat goes 26 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.A boat goes 72 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  4. 4.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  5. 5.A boat goes 48 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  7. 7.A boat goes at 20 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 111 km upstream and come back?
  8. 8.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 54 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  10. 10.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 108 km upstream and come back?
  11. 11.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  13. 13.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes 85 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.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)?
  16. 16.Two trains, 230 m and 190 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?
  17. 17.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  19. 19.Two trains, 70 m and 330 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  20. 20.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 180 m and 60 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?
  22. 22.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  23. 23.Two trains, 90 m and 295 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?
  24. 24.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  27. 27.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  28. 28.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  29. 29.A boat goes 100 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A boat goes 36 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  32. 32.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  33. 33.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  34. 34.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  35. 35.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 24 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  39. 39.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?

Answer key

  1. 70
  2. 4
  3. 5
  4. 37
  5. 4
  6. 170
  7. 40
  8. 29
  9. 3
  10. 33
  11. 20
  12. 27
  13. 29
  14. 14
  15. 5
  16. 12
  17. 23
  18. 525
  19. 10
  20. 18
  21. 8
  22. 390
  23. 11
  24. 11
  25. 5
  26. 360
  27. 29
  28. 180
  29. 20
  30. 7
  31. 33
  32. 16
  33. 165
  34. 19
  35. 19
  36. 27
  37. 7
  38. 26
  39. 12
  40. 11

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