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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 486 · 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 7 seconds. How long is the train (in metres)?
  2. 2.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 28 km upstream and come back?
  3. 3.Two trains, 130 m and 140 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?
  4. 4.A boat goes 80 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  5. 5.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  6. 6.A boat goes 39 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  7. 7.Two trains, 210 m and 210 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?
  8. 8.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 45 km upstream and come back?
  9. 9.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  11. 11.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  12. 12.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  13. 13.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  14. 14.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  15. 15.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  16. 16.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  18. 18.A boat goes 44 km downstream in 4 hours and 4 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  19. 19.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 72 km upstream and come back?
  20. 20.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  21. 21.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  22. 22.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  23. 23.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  25. 25.A boat goes 84 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  27. 27.A boat goes 63 km downstream in 3 hours and 57 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  28. 28.Two trains, 50 m and 130 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?
  29. 29.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 110 km upstream and come back?
  30. 30.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  31. 31.Two trains, 70 m and 210 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?
  32. 32.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 48 km upstream and come back?
  33. 33.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  34. 34.A boat goes at 7 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?
  35. 35.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 70 km upstream and come back?
  36. 36.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 55 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  39. 39.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  40. 40.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 140
  2. 16
  3. 9
  4. 5
  5. 11
  6. 3
  7. 12
  8. 8
  9. 19
  10. 35
  11. 340
  12. 19
  13. 375
  14. 21
  15. 32
  16. 21
  17. 50
  18. 5
  19. 30
  20. 42
  21. 27
  22. 150
  23. 10
  24. 28
  25. 18
  26. 700
  27. 1
  28. 6
  29. 32
  30. 36
  31. 8
  32. 27
  33. 175
  34. 35
  35. 24
  36. 10
  37. 9
  38. 24
  39. 24
  40. 5

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