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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 381 · 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 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  2. 2.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 90 km upstream and come back?
  3. 3.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  4. 4.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 90 km upstream and come back?
  5. 5.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  6. 6.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  8. 8.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  9. 9.A boat goes 32 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  12. 12.A boat goes 68 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  13. 13.Two trains, 60 m and 60 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?
  14. 14.A boat goes 92 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  17. 17.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.Two trains, 160 m and 85 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?
  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 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  21. 21.Two trains, 180 m and 70 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?
  22. 22.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  23. 23.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  24. 24.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  25. 25.A boat goes 88 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  27. 27.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  29. 29.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  31. 31.A boat goes 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.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)?
  33. 33.A boat goes 90 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  35. 35.A boat goes 76 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.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 105 km upstream and come back?
  37. 37.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  39. 39.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  40. 40.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 14
  2. 96
  3. 390
  4. 16
  5. 40
  6. 29
  7. 18
  8. 110
  9. 5
  10. 30
  11. 16
  12. 3
  13. 4
  14. 18
  15. 17
  16. 18
  17. 29
  18. 7
  19. 550
  20. 24
  21. 10
  22. 29
  23. 25
  24. 24
  25. 18
  26. 140
  27. 27
  28. 18
  29. 29
  30. 8
  31. 1
  32. 3
  33. 15
  34. 32
  35. 16
  36. 50
  37. 8
  38. 39
  39. 41
  40. 17

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