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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 49 · 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 50 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  2. 2.A boat goes 52 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A boat goes 36 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  4. 4.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  5. 5.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 48 km upstream and come back?
  6. 6.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  7. 7.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  8. 8.A boat goes at 14 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 115 km upstream and come back?
  9. 9.A boat goes 48 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)?
  10. 10.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  11. 11.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  12. 12.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.Two trains, 50 m and 70 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?
  14. 14.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 56 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes 34 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.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 35 km upstream and come back?
  19. 19.A boat goes 105 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  22. 22.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 80 km upstream and come back?
  23. 23.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  25. 25.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  26. 26.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  27. 27.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  29. 29.A boat goes 85 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  30. 30.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  31. 31.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  32. 32.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 23 km upstream and come back?
  33. 33.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  34. 34.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  35. 35.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.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 27 km upstream and come back?
  37. 37.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  39. 39.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?

Answer key

  1. 4
  2. 12
  3. 4
  4. 140
  5. 10
  6. 35
  7. 125
  8. 28
  9. 11
  10. 60
  11. 30
  12. 25
  13. 4
  14. 13
  15. 5
  16. 3
  17. 20
  18. 12
  19. 18
  20. 8
  21. 600
  22. 18
  23. 18
  24. 540
  25. 16
  26. 21
  27. 11
  28. 24
  29. 2
  30. 500
  31. 37
  32. 24
  33. 34
  34. 34
  35. 9
  36. 10
  37. 13
  38. 24
  39. 7
  40. 180

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