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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 17 · 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 32 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  3. 3.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  4. 4.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)?
  5. 5.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  7. 7.A boat goes 44 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes 36 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  9. 9.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)?
  10. 10.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 72 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  13. 13.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  14. 14.A boat goes 66 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  16. 16.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  17. 17.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 100 m and 215 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?
  20. 20.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  21. 21.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  22. 22.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  23. 23.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  26. 26.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  28. 28.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  29. 29.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  30. 30.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  31. 31.A boat goes 48 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A boat goes at 14 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 120 km upstream and come back?
  33. 33.Two trains, 70 m and 140 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  34. 34.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 33 km upstream and come back?
  35. 35.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 60 km upstream and come back?
  36. 36.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  37. 37.Two trains, 100 m and 150 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  38. 38.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 100 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 12
  2. 38
  3. 360
  4. 4
  5. 24
  6. 19
  7. 2
  8. 4
  9. 3
  10. 12
  11. 20
  12. 28
  13. 18
  14. 20
  15. 23
  16. 16
  17. 20
  18. 6
  19. 9
  20. 24
  21. 90
  22. 165
  23. 8
  24. 5
  25. 43
  26. 16
  27. 140
  28. 20
  29. 135
  30. 28
  31. 20
  32. 35
  33. 7
  34. 14
  35. 21
  36. 22
  37. 10
  38. 27
  39. 25
  40. 3

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