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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 244 · 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 running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  2. 2.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)?
  3. 3.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  5. 5.A boat goes at 16 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 84 km upstream and come back?
  6. 6.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  8. 8.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  9. 9.Two trains, 130 m and 275 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?
  10. 10.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes at 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  13. 13.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  14. 14.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 66 km upstream and come back?
  16. 16.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  18. 18.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  20. 20.A boat goes 65 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  21. 21.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?
  22. 22.Two trains, 170 m and 235 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?
  23. 23.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  24. 24.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  26. 26.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?
  27. 27.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  28. 28.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?
  29. 29.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes 60 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  32. 32.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  33. 33.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  34. 34.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?
  35. 35.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 56 km upstream and come back?
  36. 36.Two trains, 190 m and 125 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?
  37. 37.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  39. 39.Two trains, 170 m and 80 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?
  40. 40.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?

Answer key

  1. 440
  2. 20
  3. 19
  4. 220
  5. 24
  6. 10
  7. 20
  8. 17
  9. 9
  10. 26
  11. 21
  12. 14
  13. 480
  14. 20
  15. 28
  16. 9
  17. 36
  18. 18
  19. 520
  20. 3
  21. 14
  22. 9
  23. 200
  24. 8
  25. 165
  26. 8
  27. 16
  28. 30
  29. 23
  30. 2
  31. 24
  32. 33
  33. 34
  34. 16
  35. 11
  36. 7
  37. 18
  38. 140
  39. 10
  40. 32

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