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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 397 · 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 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 80 km upstream and come back?
  2. 2.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  3. 3.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  4. 4.Two trains, 80 m and 195 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?
  5. 5.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  6. 6.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 60 km upstream and come back?
  7. 7.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  8. 8.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  9. 9.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  10. 10.A boat goes at 9 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?
  11. 11.A boat goes 46 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  13. 13.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  14. 14.Two trains, 130 m and 50 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?
  15. 15.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  17. 17.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  18. 18.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 85 km upstream and come back?
  19. 19.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  21. 21.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  22. 22.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  23. 23.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 110 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  27. 27.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  28. 28.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  29. 29.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 38 km upstream and come back?
  30. 30.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  31. 31.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  33. 33.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  34. 34.A boat goes 45 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 96 km upstream and come back?
  36. 36.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  37. 37.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  39. 39.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.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)?

Answer key

  1. 48
  2. 18
  3. 195
  4. 11
  5. 42
  6. 33
  7. 14
  8. 28
  9. 4
  10. 9
  11. 20
  12. 33
  13. 165
  14. 6
  15. 18
  16. 160
  17. 36
  18. 90
  19. 9
  20. 25
  21. 25
  22. 175
  23. 21
  24. 5
  25. 2
  26. 24
  27. 240
  28. 180
  29. 20
  30. 190
  31. 5
  32. 13
  33. 23
  34. 10
  35. 30
  36. 20
  37. 25
  38. 19
  39. 22
  40. 18

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