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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 798 · 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 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  3. 3.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  4. 4.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  5. 5.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 99 km upstream and come back?
  6. 6.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.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)?
  8. 8.A boat goes 80 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 50 m and 280 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?
  11. 11.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  12. 12.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  13. 13.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  14. 14.Two trains, 90 m and 155 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  15. 15.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  16. 16.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  19. 19.Two trains, 150 m and 235 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  20. 20.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 42 km upstream and come back?
  21. 21.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.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 98 km upstream and come back?
  23. 23.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  25. 25.A boat goes 66 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  26. 26.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  27. 27.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 112 km upstream and come back?
  28. 28.Two trains, 150 m and 95 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?
  29. 29.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  30. 30.Two trains, 50 m and 370 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?
  31. 31.Two trains, 230 m and 120 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?
  32. 32.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  33. 33.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  34. 34.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 33 km upstream and come back?
  35. 35.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  36. 36.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  37. 37.A boat goes 42 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.Two trains, 50 m and 150 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?
  39. 39.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  40. 40.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?

Answer key

  1. 13
  2. 650
  3. 160
  4. 28
  5. 44
  6. 7
  7. 5
  8. 4
  9. 6
  10. 11
  11. 42
  12. 170
  13. 105
  14. 7
  15. 520
  16. 15
  17. 10
  18. 220
  19. 11
  20. 20
  21. 27
  22. 56
  23. 14
  24. 32
  25. 3
  26. 23
  27. 22
  28. 7
  29. 11
  30. 12
  31. 10
  32. 27
  33. 32
  34. 36
  35. 9
  36. 17
  37. 13
  38. 4
  39. 15
  40. 38

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