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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 64 · 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 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  2. 2.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  3. 3.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  6. 6.A boat goes 63 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A boat goes 68 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  11. 11.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 78 km upstream and come back?
  12. 12.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  13. 13.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.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 104 km upstream and come back?
  15. 15.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  16. 16.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  17. 17.Two trains, 190 m and 230 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?
  18. 18.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A boat goes 24 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.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 24 km upstream and come back?
  21. 21.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?
  22. 22.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  23. 23.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  24. 24.Two trains, 140 m and 245 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?
  25. 25.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 112 km upstream and come back?
  27. 27.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  29. 29.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 50 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?
  32. 32.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  33. 33.Two trains, 140 m and 160 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?
  34. 34.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  35. 35.Two trains, 110 m and 100 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?
  36. 36.A boat goes 76 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  37. 37.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 16 km upstream and come back?
  38. 38.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  39. 39.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  40. 40.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 26
  2. 135
  3. 30
  4. 27
  5. 390
  6. 18
  7. 1
  8. 23
  9. 1
  10. 22
  11. 32
  12. 12
  13. 29
  14. 112
  15. 36
  16. 13
  17. 12
  18. 10
  19. 2
  20. 7
  21. 16
  22. 375
  23. 105
  24. 11
  25. 24
  26. 36
  27. 20
  28. 22
  29. 22
  30. 22
  31. 6
  32. 32
  33. 10
  34. 300
  35. 6
  36. 2
  37. 10
  38. 25
  39. 27
  40. 22

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