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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 428 · 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 20 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 114 km upstream and come back?
  2. 2.Two trains, 160 m and 110 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?
  3. 3.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 45 km upstream and come back?
  4. 4.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  5. 5.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  6. 6.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  7. 7.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  8. 8.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  9. 9.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes 38 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes at 20 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 38 km upstream and come back?
  14. 14.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  17. 17.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  18. 18.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  20. 20.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?
  21. 21.Two trains, 80 m and 190 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?
  22. 22.Two trains, 110 m and 115 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?
  23. 23.A boat goes 40 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes 48 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  26. 26.Two trains, 230 m and 370 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?
  27. 27.Two trains, 180 m and 120 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?
  28. 28.Two trains, 150 m and 100 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?
  29. 29.A boat goes 60 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  30. 30.Two trains, 80 m and 320 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  31. 31.A boat goes 80 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  33. 33.A boat goes at 17 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 66 km upstream and come back?
  34. 34.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?
  35. 35.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 63 km upstream and come back?
  36. 36.Two trains, 170 m and 250 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?
  37. 37.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 114 km upstream and come back?
  38. 38.A boat goes 110 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A boat goes at 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  40. 40.Two trains, 250 m and 80 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?

Answer key

  1. 60
  2. 6
  3. 50
  4. 405
  5. 13
  6. 37
  7. 440
  8. 435
  9. 7
  10. 14
  11. 22
  12. 29
  13. 20
  14. 27
  15. 30
  16. 27
  17. 200
  18. 14
  19. 23
  20. 26
  21. 6
  22. 9
  23. 2
  24. 19
  25. 17
  26. 12
  27. 12
  28. 5
  29. 3
  30. 10
  31. 15
  32. 210
  33. 68
  34. 10
  35. 30
  36. 12
  37. 120
  38. 20
  39. 20
  40. 11

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