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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 523 · 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 46 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.Two trains, 250 m and 110 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?
  3. 3.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
  4. 4.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 24 km upstream and come back?
  5. 5.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 48 km upstream and come back?
  6. 6.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  7. 7.Two trains, 120 m and 130 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?
  8. 8.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  9. 9.Two trains, 50 m and 50 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?
  10. 10.Two trains, 90 m and 260 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?
  11. 11.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.Two trains, 70 m and 290 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?
  13. 13.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  15. 15.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  16. 16.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?
  17. 17.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  19. 19.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  20. 20.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 100 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)?
  22. 22.A boat goes at 19 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 74 km upstream and come back?
  23. 23.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  24. 24.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  25. 25.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  27. 27.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  29. 29.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  30. 30.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  32. 32.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  33. 33.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  35. 35.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  39. 39.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  40. 40.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 19
  2. 12
  3. 24
  4. 10
  5. 10
  6. 31
  7. 5
  8. 120
  9. 4
  10. 10
  11. 18
  12. 12
  13. 18
  14. 30
  15. 24
  16. 14
  17. 26
  18. 26
  19. 60
  20. 7
  21. 19
  22. 76
  23. 22
  24. 300
  25. 6
  26. 24
  27. 9
  28. 31
  29. 580
  30. 1
  31. 24
  32. 23
  33. 15
  34. 13
  35. 17
  36. 8
  37. 7
  38. 180
  39. 260
  40. 26

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