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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 902 · 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 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?
  2. 2.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 32 km upstream and come back?
  3. 3.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)?
  4. 4.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  7. 7.Two trains, 190 m and 125 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?
  8. 8.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  11. 11.A boat goes 96 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  14. 14.Two trains, 50 m and 370 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  15. 15.A boat goes at 15 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 63 km upstream and come back?
  16. 16.Two trains, 130 m and 80 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?
  17. 17.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 60 km upstream and come back?
  18. 18.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 99 km upstream and come back?
  19. 19.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  21. 21.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 80 km upstream and come back?
  22. 22.Two trains, 90 m and 60 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?
  23. 23.A boat goes 26 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  27. 27.A boat goes at 19 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 105 km upstream and come back?
  28. 28.Two trains, 70 m and 55 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?
  29. 29.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  32. 32.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  33. 33.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  34. 34.A boat goes 40 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train 440 m long runs at 72 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 1 km/h. How many hours does the boat take to go 112 km upstream and come back?
  37. 37.A boat goes at 18 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 68 km upstream and come back?
  38. 38.Two trains, 60 m and 390 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 train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  40. 40.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 16
  2. 10
  3. 2
  4. 18
  5. 3
  6. 10
  7. 9
  8. 11
  9. 9
  10. 350
  11. 4
  12. 21
  13. 120
  14. 12
  15. 10
  16. 6
  17. 25
  18. 110
  19. 7
  20. 27
  21. 45
  22. 5
  23. 12
  24. 6
  25. 12
  26. 43
  27. 38
  28. 5
  29. 14
  30. 6
  31. 375
  32. 650
  33. 700
  34. 8
  35. 22
  36. 15
  37. 36
  38. 10
  39. 180
  40. 16

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