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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 870 · 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 15 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 63 km upstream and come back?
  2. 2.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  3. 3.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  4. 4.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  5. 5.A boat goes 28 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  7. 7.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  8. 8.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  9. 9.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  10. 10.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  11. 11.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  16. 16.A boat goes at 17 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  17. 17.Two trains, 70 m and 245 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?
  18. 18.A boat goes 85 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  19. 19.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  20. 20.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  21. 21.A boat goes 45 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  22. 22.A boat goes 100 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.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)?
  24. 24.Two trains, 90 m and 225 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?
  25. 25.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  26. 26.A boat goes 48 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  28. 28.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 110 m and 90 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?
  30. 30.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  31. 31.Two trains, 200 m and 240 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?
  32. 32.Two trains, 230 m and 130 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?
  33. 33.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  34. 34.Two trains, 70 m and 280 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?
  35. 35.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  36. 36.Two trains, 50 m and 175 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.Two trains, 160 m and 110 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?
  38. 38.Two trains, 70 m and 80 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?
  39. 39.A boat goes 39 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?

Answer key

  1. 10
  2. 22
  3. 285
  4. 80
  5. 1
  6. 16
  7. 24
  8. 560
  9. 30
  10. 290
  11. 17
  12. 6
  13. 15
  14. 8
  15. 23
  16. 17
  17. 7
  18. 1
  19. 550
  20. 220
  21. 5
  22. 18
  23. 13
  24. 9
  25. 18
  26. 5
  27. 18
  28. 22
  29. 8
  30. 280
  31. 11
  32. 9
  33. 17
  34. 10
  35. 230
  36. 5
  37. 9
  38. 6
  39. 12
  40. 725

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