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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 878 · 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 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 32 km upstream and come back?
  2. 2.A boat goes 48 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  4. 4.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  5. 5.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  6. 6.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  7. 7.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  8. 8.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 65 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  10. 10.A boat goes 26 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  12. 12.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.Two trains, 250 m and 250 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?
  14. 14.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  15. 15.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?
  16. 16.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  17. 17.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 100 km upstream and come back?
  18. 18.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  19. 19.Two trains, 100 m and 200 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?
  20. 20.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 40 km upstream and come back?
  21. 21.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  22. 22.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.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?
  24. 24.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 120 km upstream and come back?
  25. 25.Two trains, 70 m and 245 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  26. 26.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  27. 27.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  28. 28.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  29. 29.A boat goes 69 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  30. 30.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  31. 31.A boat goes 110 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  32. 32.Two trains, 150 m and 300 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?
  33. 33.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 105 km upstream and come back?
  34. 34.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 72 km upstream and come back?
  35. 35.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.Two trains, 70 m and 50 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  37. 37.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 92 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  40. 40.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 18
  2. 10
  3. 16
  4. 500
  5. 24
  6. 24
  7. 16
  8. 26
  9. 4
  10. 9
  11. 31
  12. 21
  13. 10
  14. 4
  15. 15
  16. 26
  17. 55
  18. 33
  19. 12
  20. 7
  21. 30
  22. 1
  23. 7
  24. 25
  25. 9
  26. 90
  27. 31
  28. 26
  29. 4
  30. 34
  31. 2
  32. 10
  33. 50
  34. 21
  35. 16
  36. 4
  37. 24
  38. 18
  39. 32
  40. 29

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