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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 144 · 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 64 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  2. 2.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 54 km upstream and come back?
  3. 3.A boat goes 64 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  4. 4.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 80 m and 130 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?
  6. 6.A boat goes at 16 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 112 km upstream and come back?
  7. 7.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 64 km upstream and come back?
  8. 8.Two trains, 100 m and 305 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  9. 9.Two trains, 100 m and 80 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?
  10. 10.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?
  11. 11.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  12. 12.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  13. 13.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  14. 14.A boat goes 100 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.Two trains, 90 m and 135 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?
  16. 16.Two trains, 80 m and 220 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?
  17. 17.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  18. 18.A boat goes at 19 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 68 km upstream and come back?
  19. 19.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 120 km upstream and come back?
  21. 21.A train 750 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 2 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.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 84 km upstream and come back?
  26. 26.Two trains, 210 m and 65 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?
  27. 27.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  30. 30.Two trains, 100 m and 125 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?
  31. 31.Two trains, 50 m and 130 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?
  32. 32.Two trains, 90 m and 110 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 train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  34. 34.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)?
  35. 35.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes 14 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)?
  37. 37.A boat goes 72 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)?
  38. 38.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 19 km upstream and come back?
  39. 39.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  40. 40.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?

Answer key

  1. 2
  2. 60
  3. 5
  4. 24
  5. 7
  6. 32
  7. 12
  8. 9
  9. 9
  10. 28
  11. 90
  12. 12
  13. 320
  14. 20
  15. 9
  16. 12
  17. 330
  18. 19
  19. 21
  20. 36
  21. 30
  22. 6
  23. 15
  24. 26
  25. 48
  26. 11
  27. 11
  28. 16
  29. 38
  30. 9
  31. 9
  32. 5
  33. 240
  34. 4
  35. 28
  36. 6
  37. 13
  38. 20
  39. 14
  40. 33

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