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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 2 · 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 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 120 km upstream and come back?
  2. 2.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.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 21 km upstream and come back?
  4. 4.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  5. 5.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  7. 7.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  8. 8.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  9. 9.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes 55 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  12. 12.Two trains, 140 m and 60 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 boat goes 92 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 48 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes 24 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.Two trains, 130 m and 120 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?
  19. 19.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  20. 20.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  21. 21.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  22. 22.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  23. 23.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  24. 24.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 30 km upstream and come back?
  25. 25.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  26. 26.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  27. 27.A boat goes 36 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  29. 29.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  30. 30.Two trains, 210 m and 270 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?
  31. 31.A boat goes 28 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  33. 33.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  34. 34.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  35. 35.A boat goes 32 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  37. 37.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  38. 38.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 12 km upstream and come back?
  40. 40.A boat goes 80 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 15
  2. 8
  3. 10
  4. 475
  5. 7
  6. 26
  7. 285
  8. 13
  9. 22
  10. 8
  11. 540
  12. 5
  13. 3
  14. 26
  15. 5
  16. 5
  17. 6
  18. 10
  19. 20
  20. 150
  21. 33
  22. 340
  23. 250
  24. 8
  25. 24
  26. 435
  27. 3
  28. 36
  29. 38
  30. 12
  31. 11
  32. 31
  33. 180
  34. 240
  35. 2
  36. 29
  37. 135
  38. 25
  39. 7
  40. 5

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