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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 240 · 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 38 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 28 km upstream and come back?
  4. 4.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  5. 5.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  6. 6.A boat goes 36 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  8. 8.Two trains, 120 m and 380 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  9. 9.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  10. 10.A boat goes 63 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  11. 11.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?
  12. 12.A boat goes 40 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  13. 13.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 48 km upstream and come back?
  14. 14.Two trains, 90 m and 60 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?
  15. 15.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 92 km upstream and come back?
  16. 16.A boat goes 27 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  17. 17.Two trains, 50 m and 90 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  18. 18.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes at 16 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 110 km upstream and come back?
  20. 20.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  21. 21.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  22. 22.A boat goes 60 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  23. 23.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes at 16 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 87 km upstream and come back?
  25. 25.Two trains, 80 m and 220 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  26. 26.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  27. 27.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 52 km upstream and come back?
  28. 28.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 88 km upstream and come back?
  29. 29.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  31. 31.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 110 m and 90 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?
  33. 33.A boat goes 80 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.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?
  35. 35.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  36. 36.Two trains, 250 m and 50 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?
  37. 37.A boat goes at 15 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 88 km upstream and come back?
  38. 38.A boat goes at 14 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 80 km upstream and come back?
  39. 39.A boat goes 105 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  40. 40.A boat goes 40 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 1
  2. 6
  3. 16
  4. 130
  5. 22
  6. 15
  7. 70
  8. 10
  9. 12
  10. 5
  11. 22
  12. 1
  13. 14
  14. 5
  15. 96
  16. 2
  17. 7
  18. 22
  19. 16
  20. 200
  21. 25
  22. 5
  23. 2
  24. 32
  25. 6
  26. 31
  27. 56
  28. 26
  29. 27
  30. 33
  31. 5
  32. 5
  33. 19
  34. 18
  35. 23
  36. 12
  37. 15
  38. 14
  39. 4
  40. 1

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