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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 714 · 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 train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  2. 2.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  3. 3.A boat goes at 18 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 108 km upstream and come back?
  4. 4.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)?
  5. 5.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  6. 6.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 28 km upstream and come back?
  7. 7.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 60 km upstream and come back?
  8. 8.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 105 km upstream and come back?
  9. 9.Two trains, 110 m and 100 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?
  10. 10.Two trains, 150 m and 165 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?
  11. 11.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  12. 12.A boat goes 42 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.Two trains, 60 m and 240 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?
  14. 14.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 72 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.Two trains, 150 m and 50 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?
  18. 18.Two trains, 180 m and 205 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?
  19. 19.A boat goes 40 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)?
  20. 20.Two trains, 170 m and 190 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?
  21. 21.Two trains, 80 m and 240 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?
  22. 22.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  24. 24.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 20 km upstream and come back?
  27. 27.Two trains, 90 m and 310 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?
  28. 28.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 21 km upstream and come back?
  29. 29.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 88 km upstream and come back?
  30. 30.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  32. 32.A boat goes 85 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  34. 34.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  35. 35.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  37. 37.A boat goes 34 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)?
  38. 38.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  40. 40.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 31
  2. 28
  3. 16
  4. 12
  5. 250
  6. 9
  7. 24
  8. 36
  9. 6
  10. 9
  11. 20
  12. 19
  13. 12
  14. 21
  15. 5
  16. 1
  17. 10
  18. 11
  19. 17
  20. 12
  21. 8
  22. 25
  23. 30
  24. 5
  25. 8
  26. 3
  27. 10
  28. 22
  29. 26
  30. 19
  31. 170
  32. 14
  33. 575
  34. 135
  35. 9
  36. 36
  37. 13
  38. 12
  39. 31
  40. 28

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