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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 976 · 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 75 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  3. 3.Two trains, 130 m and 110 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?
  4. 4.A boat goes at 15 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 52 km upstream and come back?
  5. 5.Two trains, 140 m and 70 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?
  6. 6.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  8. 8.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  9. 9.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 130 m and 70 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?
  11. 11.A boat goes 55 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  12. 12.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  13. 13.A boat goes 85 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  16. 16.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  17. 17.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  19. 19.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  20. 20.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  22. 22.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  23. 23.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  24. 24.A boat goes 42 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 50 km upstream and come back?
  29. 29.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  30. 30.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  31. 31.A boat goes at 15 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 36 km upstream and come back?
  32. 32.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?
  33. 33.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  34. 34.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 88 km upstream and come back?
  35. 35.A boat goes 60 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  36. 36.A boat goes 60 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  37. 37.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  38. 38.A boat goes 85 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.Two trains, 100 m and 170 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?
  40. 40.A boat goes 36 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 2
  2. 29
  3. 6
  4. 15
  5. 7
  6. 9
  7. 435
  8. 300
  9. 25
  10. 4
  11. 1
  12. 190
  13. 2
  14. 6
  15. 25
  16. 27
  17. 21
  18. 28
  19. 25
  20. 26
  21. 405
  22. 260
  23. 325
  24. 16
  25. 9
  26. 16
  27. 8
  28. 12
  29. 700
  30. 36
  31. 5
  32. 7
  33. 19
  34. 26
  35. 4
  36. 5
  37. 175
  38. 13
  39. 9
  40. 16

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