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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 225 · 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 40 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  2. 2.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  3. 3.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 96 km upstream and come back?
  4. 4.A boat goes 85 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  5. 5.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  6. 6.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 48 km upstream and come back?
  7. 7.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 21 km upstream and come back?
  11. 11.Two trains, 110 m and 165 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  12. 12.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  13. 13.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  14. 14.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  15. 15.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  16. 16.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  17. 17.A boat goes 80 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A boat goes at 18 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 112 km upstream and come back?
  19. 19.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 117 km upstream and come back?
  20. 20.A boat goes 48 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 22 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  24. 24.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 210 m and 230 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?
  26. 26.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  28. 28.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  29. 29.A boat goes 42 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  30. 30.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  31. 31.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  32. 32.A boat goes 39 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  34. 34.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes at 16 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 78 km upstream and come back?
  36. 36.Two trains, 100 m and 100 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?
  37. 37.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 54 km upstream and come back?
  38. 38.Two trains, 130 m and 410 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  39. 39.A boat goes 80 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?

Answer key

  1. 3
  2. 32
  3. 30
  4. 3
  5. 90
  6. 6
  7. 30
  8. 11
  9. 130
  10. 10
  11. 11
  12. 675
  13. 24
  14. 19
  15. 39
  16. 22
  17. 17
  18. 18
  19. 130
  20. 11
  21. 28
  22. 1
  23. 180
  24. 20
  25. 11
  26. 6
  27. 34
  28. 345
  29. 1
  30. 390
  31. 24
  32. 4
  33. 22
  34. 25
  35. 16
  36. 5
  37. 24
  38. 12
  39. 3
  40. 23

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