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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 538 · 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 at 20 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 76 km upstream and come back?
  2. 2.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  5. 5.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.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)?
  8. 8.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  9. 9.A boat goes 90 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  10. 10.Two trains, 80 m and 165 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?
  11. 11.A boat goes 48 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.Two trains, 180 m and 260 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  13. 13.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 190 m and 260 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?
  15. 15.A boat goes 60 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  17. 17.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  18. 18.Two trains, 150 m and 90 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  19. 19.A boat goes 72 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  20. 20.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  21. 21.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 48 km upstream and come back?
  22. 22.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  23. 23.A boat goes at 16 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 72 km upstream and come back?
  24. 24.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  25. 25.Two trains, 110 m and 160 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?
  26. 26.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 50 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?
  28. 28.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  29. 29.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  30. 30.A boat goes at 15 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 27 km upstream and come back?
  31. 31.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  32. 32.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  33. 33.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 36 km upstream and come back?
  34. 34.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  35. 35.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  36. 36.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?
  37. 37.Two trains, 170 m and 235 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  38. 38.A boat goes 80 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  40. 40.Two trains, 80 m and 95 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?

Answer key

  1. 40
  2. 6
  3. 24
  4. 29
  5. 15
  6. 9
  7. 3
  8. 24
  9. 2
  10. 7
  11. 9
  12. 11
  13. 27
  14. 9
  15. 19
  16. 220
  17. 27
  18. 6
  19. 4
  20. 22
  21. 14
  22. 31
  23. 12
  24. 25
  25. 9
  26. 28
  27. 5
  28. 38
  29. 28
  30. 10
  31. 190
  32. 500
  33. 15
  34. 28
  35. 38
  36. 16
  37. 9
  38. 3
  39. 35
  40. 7

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